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@frostburn
Created February 8, 2024 13:29
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Guide generator by CS size
=== CS size 5 ===
209 scales in total: 9, 243, 2187, 3^5/2, 3^2/3, 3^4/3, 3^3/4, 3^5/4, 3^3/5, 3^6/5, 3^7/6, 3^4/7, 3^5/7, 125, 15625, 5^1/2, 5^5/2, 5^7/2, 5^4/3, 5^5/3, 5^5/4, 5^7/4, 5^2/5, 5^4/5, 5^5/6, 5^3/7, 5^6/7, 36, 7776, 279936, 6^3/2, 6^7/2, 6^1/3, 6^7/3, 6^3/4, 6^2/5, 6^4/5, 6^6/5, 6^5/6, 6^7/6, 6^3/7, 6^5/7, 7, 16807, 117649, 7^5/2, 7^7/2, 7^1/3, 7^2/3, 7^3/4, 7^7/4, 7^2/5, 7^7/5, 7^2/7, 7^5/7, 9/4, 243/32, 2187/128, 3/2^3/2, 3/2^7/2, 3/2^1/3, 3/2^5/3, 3/2^1/4, 3/2^7/4, 3/2^1/5, 3/2^7/5, 3/2^1/6, 3/2^1/7, 3/2^2/7, 125/8, 15625/64, 5/2^3/2, 5/2^2/3, 5/2^7/3, 5/2^3/4, 5/2^4/5, 5/2^7/5, 5/2^5/6, 5/2^1/7, 5/2^5/7, 5/2^6/7, 7/2, 16807/32, 117649/64, 7/2^1/2, 7/2^5/3, 7/2^7/4, 7/2^3/5, 7/2^6/5, 7/2^7/6, 7/2^4/7, 16/9, 1024/243, 16384/2187, 4/3^5/2, 4/3^1/3, 4/3^7/3, 4/3^1/4, 4/3^1/5, 4/3^2/5, 4/3^1/6, 4/3^1/7, 4/3^2/7, 4/3^3/7, 625/81, 78125/2187, 5/3^3/2, 5/3^5/2, 5/3^4/3, 5/3^1/4, 5/3^5/4, 5/3^1/5, 5/3^6/5, 5/3^7/5, 5/3^1/6, 5/3^7/6, 5/3^1/7, 2401/81, 16807/243, 7/3^3/2, 7/3^5/2, 7/3^2/3, 7/3^5/3, 7/3^7/3, 7/3^3/4, 7/3^7/4, 7/3^4/5, 7/3^5/6, 7/3^1/7, 7/3^5/7, 7/3^6/7, 125/64, 15625/4096, 5/4^1/2, 5/4^5/2, 5/4^7/2, 5/4^1/3, 5/4^1/4, 5/4^1/5, 5/4^2/5, 5/4^3/5, 5/4^1/6, 5/4^1/7, 5/4^2/7, 5/4^3/7, 5/4^4/7, 7/4, 16807/1024, 117649/4096, 7/4^5/2, 7/4^7/2, 7/4^4/3, 7/4^7/3, 7/4^5/4, 7/4^1/5, 7/4^6/5, 7/4^7/5, 7/4^1/6, 7/4^7/6, 7/4^1/7, 1296/625, 279936/78125, 6/5^1/2, 6/5^7/2, 6/5^1/3, 6/5^2/3, 6/5^1/4, 6/5^3/4, 6/5^1/5, 6/5^2/5, 6/5^3/5, 6/5^1/6, 6/5^1/7, 6/5^2/7, 6/5^3/7, 6/5^4/7, 6/5^5/7, 49/25, 2401/625, 117649/15625, 7/5^1/3, 7/5^5/3, 7/5^7/3, 7/5^1/4, 7/5^7/4, 7/5^1/5, 7/5^2/5, 7/5^1/6, 7/5^1/7, 7/5^2/7, 2401/1296, 16807/7776, 7/6^1/2, 7/6^1/3, 7/6^2/3, 7/6^1/4, 7/6^3/4, 7/6^1/5, 7/6^2/5, 7/6^3/5, 7/6^4/5, 7/6^1/6, 7/6^5/6, 7/6^1/7, 7/6^2/7, 7/6^3/7, 7/6^4/7, 7/6^5/7, 7/6^6/7
=== CS size 6 ===
371 scales in total: 3, 243, 729, 2187, 3^5/2, 3^7/2, 3^1/3, 3^2/3, 3^4/3, 3^7/3, 3^5/4, 3^1/5, 3^3/5, 3^4/5, 3^6/5, 3^1/6, 3^5/6, 3^7/6, 3^2/7, 3^3/7, 3^4/7, 3^5/7, 2^2/7, 2^4/7, 2^6/7, 2^8/7, 2^10/7, 2^12/7, 5, 125, 625, 15625, 78125, 5^1/2, 5^3/2, 5^7/2, 5^2/3, 5^4/3, 5^5/3, 5^7/3, 5^1/4, 5^3/4, 5^5/4, 5^7/4, 5^1/5, 5^2/5, 5^4/5, 5^7/5, 5^5/6, 5^7/6, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 6, 7776, 46656, 279936, 6^1/2, 6^3/2, 6^5/2, 6^7/2, 6^1/3, 6^2/3, 6^4/3, 6^5/3, 6^7/3, 6^3/4, 6^7/4, 6^1/5, 6^2/5, 6^3/5, 6^4/5, 6^6/5, 6^1/6, 6^5/6, 6^7/6, 6^2/7, 6^3/7, 6^4/7, 6^5/7, 343, 16807, 117649, 7^1/2, 7^5/2, 7^1/3, 7^2/3, 7^4/3, 7^5/3, 7^7/3, 7^1/4, 7^3/4, 7^5/4, 7^7/4, 7^1/5, 7^2/5, 7^3/5, 7^7/5, 7^1/6, 7^7/6, 7^1/7, 7^5/7, 7^6/7, 3/2, 243/32, 729/64, 2187/128, 3/2^1/2, 3/2^3/2, 3/2^5/2, 3/2^7/2, 3/2^5/3, 3/2^1/4, 3/2^3/4, 3/2^5/4, 3/2^7/4, 3/2^1/5, 3/2^4/5, 3/2^6/5, 3/2^1/6, 3/2^5/6, 3/2^7/6, 3/2^1/7, 3/2^3/7, 3/2^5/7, 3/2^6/7, 5/2, 125/8, 625/16, 15625/64, 78125/128, 5/2^3/2, 5/2^5/2, 5/2^1/3, 5/2^2/3, 5/2^7/3, 5/2^1/4, 5/2^3/4, 5/2^7/4, 5/2^1/5, 5/2^2/5, 5/2^4/5, 5/2^6/5, 5/2^7/5, 5/2^5/6, 5/2^7/6, 5/2^3/7, 5/2^5/7, 5/2^6/7, 343/8, 16807/32, 117649/64, 7/2^1/2, 7/2^3/2, 7/2^5/2, 7/2^7/2, 7/2^4/3, 7/2^5/3, 7/2^1/4, 7/2^5/4, 7/2^7/4, 7/2^2/5, 7/2^3/5, 7/2^4/5, 7/2^7/5, 7/2^1/6, 7/2^5/6, 7/2^7/6, 7/2^1/7, 7/2^2/7, 7/2^4/7, 7/2^5/7, 7/2^6/7, 4/3, 1024/243, 4096/729, 16384/2187, 4/3^5/2, 4/3^7/2, 4/3^1/3, 4/3^2/3, 4/3^4/3, 4/3^5/3, 4/3^7/3, 4/3^1/4, 4/3^3/4, 4/3^5/4, 4/3^7/4, 4/3^1/5, 4/3^2/5, 4/3^4/5, 4/3^6/5, 4/3^7/5, 4/3^1/6, 4/3^7/6, 4/3^1/7, 4/3^2/7, 4/3^5/7, 5/3, 25/9, 625/81, 3125/243, 15625/729, 78125/2187, 5/3^3/2, 5/3^5/2, 5/3^7/2, 5/3^2/3, 5/3^4/3, 5/3^7/3, 5/3^3/4, 5/3^5/4, 5/3^7/4, 5/3^1/5, 5/3^2/5, 5/3^3/5, 5/3^4/5, 5/3^6/5, 5/3^7/5, 5/3^1/6, 5/3^7/6, 5/3^1/7, 5/3^3/7, 5/3^4/7, 5/3^5/7, 49/9, 343/27, 2401/81, 16807/243, 823543/2187, 7/3^3/2, 7/3^5/2, 7/3^7/2, 7/3^1/3, 7/3^5/3, 7/3^7/3, 7/3^1/4, 7/3^3/4, 7/3^5/4, 7/3^7/4, 7/3^2/5, 7/3^3/5, 7/3^4/5, 7/3^6/5, 7/3^7/5, 7/3^5/6, 7/3^7/6, 7/3^3/7, 7/3^4/7, 7/3^5/7, 7/3^6/7, 5/4, 125/64, 625/256, 15625/4096, 78125/16384, 5/4^1/2, 5/4^3/2, 5/4^7/2, 5/4^1/3, 5/4^4/3, 5/4^5/3, 5/4^1/4, 5/4^5/4, 5/4^7/4, 5/4^1/5, 5/4^2/5, 5/4^4/5, 5/4^7/5, 5/4^1/6, 5/4^5/6, 5/4^1/7, 5/4^2/7, 5/4^3/7, 5/4^6/7, 343/64, 16807/1024, 117649/4096, 7/4^1/2, 7/4^5/2, 7/4^1/3, 7/4^2/3, 7/4^4/3, 7/4^7/3, 7/4^5/4, 7/4^7/4, 7/4^1/5, 7/4^2/5, 7/4^3/5, 7/4^6/5, 7/4^7/5, 7/4^1/6, 7/4^5/6, 7/4^7/6, 7/4^1/7, 7/4^4/7, 7/4^5/7, 7/4^6/7, 6/5, 36/25, 1296/625, 7776/3125, 46656/15625, 279936/78125, 6/5^1/2, 6/5^7/2, 6/5^1/3, 6/5^5/3, 6/5^1/4, 6/5^5/4, 6/5^7/4, 6/5^1/5, 6/5^2/5, 6/5^3/5, 6/5^6/5, 6/5^1/6, 6/5^7/6, 6/5^1/7, 6/5^2/7, 6/5^3/7, 6/5^4/7, 7/5, 49/25, 343/125, 2401/625, 16807/3125, 117649/15625, 7/5^3/2, 7/5^7/2, 7/5^1/3, 7/5^2/3, 7/5^7/3, 7/5^1/4, 7/5^7/4, 7/5^1/5, 7/5^3/5, 7/5^6/5, 7/5^7/5, 7/5^1/6, 7/5^5/6, 7/5^7/6, 7/5^1/7, 7/5^2/7, 7/5^4/7, 7/5^6/7, 49/36, 343/216, 2401/1296, 16807/7776, 823543/279936, 7/6^1/2, 7/6^5/2, 7/6^1/3, 7/6^2/3, 7/6^4/3, 7/6^7/3, 7/6^1/4, 7/6^5/4, 7/6^1/5, 7/6^2/5, 7/6^3/5, 7/6^6/5, 7/6^7/5, 7/6^1/6, 7/6^7/6, 7/6^1/7, 7/6^2/7, 7/6^3/7, 7/6^4/7, 7/6^5/7
=== CS size 7 ===
224 scales in total: 81, 243, 2187, 3^3/2, 3^5/2, 3^2/3, 3^4/3, 3^5/3, 3^1/4, 3^5/4, 3^2/5, 3^3/5, 3^6/5, 3^4/7, 3^5/7, 3^6/7, 25, 125, 3125, 15625, 5^7/2, 5^4/3, 5^5/3, 5^5/4, 5^7/4, 5^2/5, 5^3/5, 5^4/5, 5^1/6, 5^5/6, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 1296, 7776, 279936, 6^3/2, 6^7/2, 6^1/3, 6^7/3, 6^1/4, 6^3/4, 6^2/5, 6^4/5, 6^6/5, 6^7/5, 6^7/6, 6^1/7, 6^3/7, 49, 16807, 823543, 7^5/2, 7^1/3, 7^2/3, 7^3/4, 7^7/4, 7^2/5, 7^6/5, 7^7/5, 7^5/6, 7^4/7, 7^5/7, 81/16, 243/32, 2187/128, 3/2^3/2, 3/2^7/2, 3/2^2/3, 3/2^5/3, 3/2^7/3, 3/2^7/4, 3/2^1/5, 3/2^3/5, 3/2^1/6, 3/2^1/7, 3/2^4/7, 25/4, 125/8, 3125/32, 15625/64, 5/2^1/2, 5/2^3/2, 5/2^7/2, 5/2^2/3, 5/2^7/3, 5/2^3/4, 5/2^5/4, 5/2^4/5, 5/2^5/6, 5/2^2/7, 5/2^5/7, 5/2^6/7, 49/4, 16807/32, 823543/128, 7/2^1/2, 7/2^1/3, 7/2^5/3, 7/2^3/4, 7/2^1/5, 7/2^3/5, 7/2^7/6, 7/2^4/7, 256/81, 1024/243, 16384/2187, 4/3^3/2, 4/3^5/2, 4/3^1/3, 4/3^7/3, 4/3^1/4, 4/3^1/5, 4/3^1/6, 4/3^5/6, 4/3^1/7, 4/3^2/7, 4/3^6/7, 625/81, 5/3^1/2, 5/3^3/2, 5/3^4/3, 5/3^5/4, 5/3^6/5, 5/3^7/5, 5/3^1/6, 5/3^5/6, 5/3^7/6, 5/3^1/7, 5/3^6/7, 2401/81, 16807/243, 117649/729, 7/3^1/2, 7/3^5/2, 7/3^4/3, 7/3^5/3, 7/3^3/4, 7/3^7/4, 7/3^4/5, 7/3^5/6, 7/3^2/7, 7/3^5/7, 7/3^6/7, 25/16, 125/64, 3125/1024, 15625/4096, 5/4^7/2, 5/4^1/3, 5/4^1/4, 5/4^1/5, 5/4^2/5, 5/4^6/5, 5/4^1/6, 5/4^7/6, 5/4^1/7, 5/4^2/7, 5/4^3/7, 49/16, 16807/1024, 823543/16384, 7/4^5/2, 7/4^4/3, 7/4^5/3, 7/4^7/3, 7/4^3/4, 7/4^5/4, 7/4^4/5, 7/4^6/5, 7/4^7/5, 7/4^1/6, 7/4^7/6, 7/4^1/7, 7/4^3/7, 1296/625, 6/5^1/2, 6/5^3/2, 6/5^5/2, 6/5^7/2, 6/5^1/3, 6/5^4/3, 6/5^7/3, 6/5^1/4, 6/5^1/5, 6/5^2/5, 6/5^7/5, 6/5^1/6, 6/5^1/7, 6/5^2/7, 6/5^3/7, 49/25, 2401/625, 117649/15625, 823543/78125, 7/5^4/3, 7/5^7/3, 7/5^1/4, 7/5^3/4, 7/5^5/4, 7/5^1/5, 7/5^4/5, 7/5^1/6, 7/5^1/7, 7/5^2/7, 7/5^5/7, 2401/1296, 16807/7776, 117649/46656, 7/6^1/2, 7/6^3/2, 7/6^1/3, 7/6^5/3, 7/6^1/4, 7/6^7/4, 7/6^1/5, 7/6^2/5, 7/6^3/5, 7/6^1/6, 7/6^1/7, 7/6^2/7, 7/6^3/7, 7/6^4/7
=== CS size 8 ===
255 scales in total: 27, 243, 729, 2187, 3^1/2, 3^5/2, 3^7/2, 3^1/3, 3^2/3, 3^4/3, 3^5/4, 3^7/4, 3^3/5, 3^6/5, 3^7/5, 3^1/7, 3^2/7, 3^4/7, 125, 15625, 5^3/2, 5^1/3, 5^2/3, 5^4/3, 5^5/4, 5^7/4, 5^1/5, 5^2/5, 5^6/5, 5^5/6, 5^3/7, 5^6/7, 216, 7776, 46656, 279936, 6^3/2, 6^5/2, 6^7/2, 6^4/3, 6^7/3, 6^3/4, 6^5/4, 6^7/4, 6^1/5, 6^2/5, 6^3/5, 6^4/5, 6^6/5, 6^1/6, 6^7/6, 6^3/7, 6^4/7, 6^6/7, 2401, 16807, 7^3/2, 7^5/2, 7^1/3, 7^7/3, 7^3/4, 7^5/4, 7^7/4, 7^1/5, 7^2/5, 7^4/5, 7^7/5, 7^1/6, 7^3/7, 7^5/7, 27/8, 243/32, 729/64, 2187/128, 3/2^3/2, 3/2^5/2, 3/2^7/2, 3/2^4/3, 3/2^5/3, 3/2^3/4, 3/2^7/4, 3/2^1/5, 3/2^2/5, 3/2^4/5, 3/2^1/6, 3/2^5/6, 3/2^1/7, 3/2^6/7, 125/8, 15625/64, 5/2^3/2, 5/2^1/3, 5/2^2/3, 5/2^4/3, 5/2^5/3, 5/2^7/3, 5/2^3/4, 5/2^2/5, 5/2^3/5, 5/2^4/5, 5/2^1/6, 5/2^5/6, 5/2^7/6, 5/2^3/7, 5/2^4/7, 5/2^5/7, 2401/16, 16807/32, 7/2^1/2, 7/2^5/2, 7/2^2/3, 7/2^5/3, 7/2^7/3, 7/2^1/4, 7/2^3/5, 7/2^4/5, 7/2^7/5, 7/2^5/6, 7/2^7/6, 7/2^2/7, 7/2^3/7, 7/2^4/7, 7/2^6/7, 64/27, 1024/243, 4096/729, 16384/2187, 4/3^1/2, 4/3^5/2, 4/3^7/2, 4/3^4/3, 4/3^7/3, 4/3^1/4, 4/3^5/4, 4/3^1/5, 4/3^3/5, 4/3^6/5, 4/3^1/6, 4/3^7/6, 4/3^1/7, 4/3^2/7, 4/3^4/7, 25/9, 125/27, 625/81, 5/3^3/2, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^5/3, 5/3^3/4, 5/3^5/4, 5/3^3/5, 5/3^6/5, 5/3^7/5, 5/3^1/6, 5/3^1/7, 5/3^2/7, 5/3^5/7, 7/3, 49/9, 2401/81, 16807/243, 823543/2187, 7/3^5/2, 7/3^5/3, 7/3^3/4, 7/3^5/4, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^6/5, 7/3^1/6, 7/3^5/6, 7/3^3/7, 7/3^6/7, 125/64, 15625/4096, 5/4^3/2, 5/4^1/3, 5/4^2/3, 5/4^4/3, 5/4^5/3, 5/4^7/3, 5/4^1/4, 5/4^3/4, 5/4^7/4, 5/4^1/5, 5/4^7/5, 5/4^1/6, 5/4^1/7, 5/4^2/7, 5/4^5/7, 2401/256, 16807/1024, 7/4^3/2, 7/4^5/2, 7/4^2/3, 7/4^4/3, 7/4^7/3, 7/4^1/4, 7/4^5/4, 7/4^3/5, 7/4^6/5, 7/4^7/6, 7/4^1/7, 7/4^2/7, 7/4^4/7, 36/25, 216/125, 1296/625, 6/5^7/2, 6/5^1/3, 6/5^5/3, 6/5^1/4, 6/5^7/4, 6/5^1/5, 6/5^2/5, 6/5^4/5, 6/5^1/6, 6/5^5/6, 6/5^1/7, 6/5^2/7, 6/5^3/7, 6/5^6/7, 7/5, 49/25, 343/125, 2401/625, 117649/15625, 7/5^1/2, 7/5^5/2, 7/5^1/4, 7/5^1/5, 7/5^1/6, 7/5^7/6, 7/5^1/7, 7/5^3/7, 7/6, 49/36, 2401/1296, 16807/7776, 823543/279936, 7/6^1/2, 7/6^5/2, 7/6^7/2, 7/6^1/3, 7/6^7/3, 7/6^1/4, 7/6^1/5, 7/6^2/5, 7/6^1/6, 7/6^1/7, 7/6^2/7, 7/6^3/7
=== CS size 9 ===
168 scales in total: 243, 2187, 3^5/2, 3^2/3, 3^7/3, 3^5/4, 3^1/5, 3^3/5, 3^6/5, 3^5/6, 3^3/7, 3^4/7, 5, 125, 625, 15625, 5^4/3, 5^5/4, 5^7/4, 5^2/5, 5^5/6, 5^7/6, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 7776, 279936, 6^1/2, 6^7/2, 6^5/3, 6^7/3, 6^3/4, 6^2/5, 6^4/5, 6^6/5, 6^7/6, 6^3/7, 16807, 7^5/2, 7^1/3, 7^5/3, 7^1/4, 7^3/4, 7^7/4, 7^3/5, 7^7/5, 7^5/7, 243/32, 2187/128, 3/2^1/2, 3/2^7/2, 3/2^5/3, 3/2^7/4, 3/2^6/5, 3/2^1/6, 3/2^7/6, 3/2^1/7, 5/2, 125/8, 625/16, 15625/64, 5/2^3/2, 5/2^5/2, 5/2^7/3, 5/2^1/4, 5/2^3/4, 5/2^7/4, 5/2^4/5, 5/2^5/6, 5/2^5/7, 16807/32, 7/2^1/2, 7/2^3/2, 7/2^7/2, 7/2^5/3, 7/2^3/5, 7/2^1/6, 7/2^7/6, 7/2^4/7, 7/2^5/7, 1024/243, 16384/2187, 4/3^5/2, 4/3^5/3, 4/3^7/3, 4/3^1/4, 4/3^3/4, 4/3^1/5, 4/3^4/5, 4/3^1/6, 4/3^1/7, 4/3^5/7, 625/81, 3125/243, 5/3^3/2, 5/3^4/3, 5/3^5/4, 5/3^7/4, 5/3^2/5, 5/3^7/5, 5/3^1/7, 5/3^3/7, 343/27, 2401/81, 7/3^5/2, 7/3^5/3, 7/3^1/4, 7/3^3/4, 7/3^4/5, 7/3^7/5, 7/3^5/6, 7/3^4/7, 7/3^6/7, 5/4, 125/64, 625/256, 15625/4096, 5/4^1/3, 5/4^1/4, 5/4^1/5, 5/4^1/6, 5/4^1/7, 5/4^2/7, 16807/1024, 7/4^5/2, 7/4^4/3, 7/4^5/4, 7/4^2/5, 7/4^6/5, 7/4^5/6, 7/4^7/6, 7/4^6/7, 1296/625, 7776/3125, 6/5^7/2, 6/5^1/3, 6/5^1/4, 6/5^5/4, 6/5^1/5, 6/5^2/5, 6/5^6/5, 6/5^1/6, 6/5^7/6, 6/5^1/7, 6/5^2/7, 49/25, 2401/625, 117649/15625, 7/5^7/2, 7/5^2/3, 7/5^1/5, 7/5^3/5, 7/5^7/5, 7/5^1/6, 7/5^1/7, 343/216, 2401/1296, 7/6^1/3, 7/6^4/3, 7/6^1/4, 7/6^1/5, 7/6^2/5, 7/6^7/5, 7/6^1/6, 7/6^1/7, 7/6^2/7, 7/6^3/7
=== CS size 10 ===
272 scales in total: 9, 81, 243, 729, 2187, 3^5/2, 3^7/2, 3^1/3, 3^2/3, 3^5/3, 3^3/4, 3^5/4, 3^2/5, 3^3/5, 3^4/5, 3^6/5, 3^1/6, 3^2/7, 3^4/7, 3^6/7, 25, 125, 15625, 78125, 5^3/2, 5^5/2, 5^2/3, 5^4/3, 5^3/4, 5^5/4, 5^7/4, 5^1/5, 5^2/5, 5^7/5, 5^5/6, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 36, 1296, 7776, 46656, 279936, 6^5/2, 6^7/2, 6^2/3, 6^4/3, 6^7/3, 6^1/4, 6^3/4, 6^7/4, 6^1/5, 6^2/5, 6^3/5, 6^4/5, 6^7/6, 6^1/7, 6^2/7, 6^4/7, 7, 16807, 823543, 7^5/2, 7^7/2, 7^1/3, 7^4/3, 7^7/3, 7^5/4, 7^7/4, 7^6/5, 7^7/5, 7^1/6, 7^5/6, 7^7/6, 7^2/7, 7^5/7, 9/4, 81/16, 243/32, 729/64, 2187/128, 3/2^5/2, 3/2^7/2, 3/2^1/3, 3/2^5/3, 3/2^7/3, 3/2^5/4, 3/2^7/4, 3/2^3/5, 3/2^4/5, 3/2^7/5, 3/2^1/6, 3/2^5/6, 3/2^1/7, 3/2^2/7, 3/2^3/7, 3/2^4/7, 3/2^6/7, 25/4, 125/8, 15625/64, 78125/128, 5/2^1/2, 5/2^3/2, 5/2^7/2, 5/2^7/3, 5/2^3/4, 5/2^5/4, 5/2^1/5, 5/2^2/5, 5/2^4/5, 5/2^7/6, 5/2^1/7, 5/2^5/7, 7/2, 16807/32, 823543/128, 7/2^1/2, 7/2^5/2, 7/2^5/3, 7/2^1/4, 7/2^3/4, 7/2^5/4, 7/2^1/5, 7/2^2/5, 7/2^3/5, 7/2^4/5, 7/2^6/5, 7/2^7/5, 7/2^5/6, 7/2^1/7, 7/2^2/7, 7/2^4/7, 7/2^6/7, 16/9, 256/81, 1024/243, 4096/729, 16384/2187, 4/3^5/2, 4/3^7/2, 4/3^2/3, 4/3^4/3, 4/3^7/3, 4/3^5/4, 4/3^7/4, 4/3^1/5, 4/3^6/5, 4/3^1/6, 4/3^5/6, 4/3^7/6, 4/3^1/7, 4/3^3/7, 4/3^6/7, 5/3, 25/9, 625/81, 5/3^1/2, 5/3^2/3, 5/3^4/3, 5/3^7/3, 5/3^1/4, 5/3^3/4, 5/3^5/4, 5/3^7/5, 5/3^5/7, 5/3^6/7, 49/9, 117649/729, 7/3^5/2, 7/3^7/2, 7/3^2/3, 7/3^4/3, 7/3^5/3, 7/3^3/4, 7/3^5/4, 7/3^2/5, 7/3^3/5, 7/3^4/5, 7/3^6/5, 7/3^5/6, 7/3^1/7, 7/3^2/7, 7/3^3/7, 7/3^6/7, 25/16, 125/64, 15625/4096, 78125/16384, 5/4^3/2, 5/4^5/2, 5/4^5/3, 5/4^1/4, 5/4^1/5, 5/4^3/5, 5/4^4/5, 5/4^7/5, 5/4^1/6, 5/4^5/6, 5/4^1/7, 5/4^2/7, 5/4^4/7, 5/4^6/7, 7/4, 16807/1024, 823543/16384, 7/4^5/2, 7/4^7/2, 7/4^1/3, 7/4^2/3, 7/4^4/3, 7/4^5/3, 7/4^5/4, 7/4^3/5, 7/4^4/5, 7/4^6/5, 7/4^7/6, 7/4^3/7, 7/4^4/7, 6/5, 36/25, 1296/625, 6/5^5/2, 6/5^7/2, 6/5^1/3, 6/5^2/3, 6/5^4/3, 6/5^1/4, 6/5^3/4, 6/5^7/4, 6/5^1/5, 6/5^7/5, 6/5^1/6, 6/5^1/7, 6/5^2/7, 6/5^5/7, 7/5, 49/25, 343/125, 2401/625, 117649/15625, 7/5^3/2, 7/5^4/3, 7/5^5/3, 7/5^3/4, 7/5^1/5, 7/5^2/5, 7/5^1/6, 7/5^1/7, 7/5^4/7, 7/5^5/7, 49/36, 117649/46656, 7/6^3/2, 7/6^1/3, 7/6^5/3, 7/6^7/3, 7/6^1/4, 7/6^3/4, 7/6^5/4, 7/6^1/5, 7/6^2/5, 7/6^4/5, 7/6^6/5, 7/6^1/6, 7/6^5/6, 7/6^7/6, 7/6^1/7, 7/6^2/7, 7/6^3/7, 7/6^6/7
=== CS size 11 ===
120 scales in total: 3, 243, 3^5/2, 3^2/3, 3^5/4, 3^3/5, 125, 15625, 5^7/3, 5^1/4, 5^7/4, 5^2/5, 5^5/6, 5^3/7, 5^6/7, 6, 7776, 6^7/2, 6^7/3, 6^3/4, 6^2/5, 6^4/5, 6^7/6, 343, 16807, 7^1/2, 7^5/2, 7^1/3, 7^7/4, 7^7/5, 7^1/7, 7^5/7, 7^6/7, 3/2, 243/32, 3/2^7/2, 3/2^5/3, 3/2^7/4, 3/2^1/7, 3/2^5/7, 125/8, 15625/64, 5/2^3/2, 5/2^7/3, 5/2^3/4, 5/2^4/5, 5/2^6/5, 5/2^5/7, 343/8, 16807/32, 7/2^4/3, 7/2^5/3, 7/2^3/5, 7/2^4/7, 4/3, 1024/243, 4/3^5/2, 4/3^7/3, 4/3^1/5, 4/3^7/5, 4/3^1/6, 4/3^1/7, 625/81, 15625/729, 5/3^7/2, 5/3^4/3, 5/3^5/4, 5/3^4/5, 5/3^7/5, 5/3^4/7, 7/3^5/2, 7/3^1/3, 7/3^5/3, 7/3^3/4, 7/3^4/5, 7/3^5/6, 7/3^7/6, 7/3^6/7, 125/64, 15625/4096, 5/4^1/4, 5/4^5/4, 5/4^1/5, 5/4^1/6, 5/4^1/7, 343/64, 16807/1024, 7/4^1/2, 7/4^5/2, 7/4^4/3, 7/4^5/4, 7/4^7/4, 7/4^6/5, 7/4^7/6, 7/4^5/7, 1296/625, 46656/15625, 6/5^7/2, 6/5^1/3, 6/5^1/4, 6/5^1/5, 6/5^1/6, 6/5^1/7, 6/5^2/7, 49/25, 2401/625, 16807/3125, 117649/15625, 7/5^6/5, 7/5^1/6, 7/5^5/6, 7/5^1/7, 7/5^6/7, 7/6^1/3, 7/6^1/4, 7/6^1/5, 7/6^2/5, 7/6^1/6, 7/6^1/7, 7/6^2/7
=== CS size 12 ===
244 scales in total: 27, 243, 729, 3^3/2, 3^5/2, 3^1/3, 3^2/3, 3^7/3, 3^1/4, 3^5/4, 3^7/4, 3^1/5, 3^3/5, 3^5/6, 3^7/6, 3^1/7, 3^3/7, 5, 125, 3125, 15625, 5^1/2, 5^3/2, 5^1/3, 5^7/4, 5^1/5, 5^2/5, 5^3/5, 5^1/6, 5^5/6, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 216, 7776, 46656, 6^5/2, 6^7/2, 6^5/3, 6^7/3, 6^3/4, 6^5/4, 6^7/4, 6^1/5, 6^2/5, 6^4/5, 6^7/5, 6^5/6, 6^7/6, 6^4/7, 6^5/7, 49, 2401, 16807, 117649, 7^5/2, 7^1/3, 7^5/3, 7^5/4, 7^3/5, 7^4/5, 7^7/5, 7^1/6, 7^4/7, 7^5/7, 27/8, 243/32, 729/64, 3/2^5/2, 3/2^7/2, 3/2^2/3, 3/2^5/3, 3/2^1/4, 3/2^7/4, 3/2^2/5, 3/2^4/5, 3/2^5/6, 3/2^7/6, 3/2^6/7, 5/2, 125/8, 3125/32, 15625/64, 5/2^3/2, 5/2^5/2, 5/2^4/3, 5/2^1/4, 5/2^3/4, 5/2^7/4, 5/2^2/5, 5/2^4/5, 5/2^7/5, 5/2^7/6, 5/2^2/7, 5/2^4/7, 5/2^5/7, 49/4, 2401/16, 16807/32, 117649/64, 7/2^5/2, 7/2^7/2, 7/2^1/3, 7/2^5/3, 7/2^7/4, 7/2^7/5, 7/2^1/6, 7/2^5/6, 7/2^2/7, 7/2^3/7, 7/2^4/7, 64/27, 1024/243, 4096/729, 4/3^3/2, 4/3^5/2, 4/3^5/3, 4/3^7/3, 4/3^3/4, 4/3^5/4, 4/3^1/5, 4/3^2/5, 4/3^3/5, 4/3^4/5, 4/3^6/5, 4/3^1/6, 4/3^7/6, 4/3^1/7, 4/3^4/7, 25/9, 625/81, 3125/243, 78125/2187, 5/3^5/2, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^5/3, 5/3^5/4, 5/3^1/5, 5/3^7/5, 5/3^5/6, 5/3^3/7, 5/3^5/7, 7/3, 343/27, 7/3^1/2, 7/3^3/2, 7/3^5/2, 7/3^5/3, 7/3^7/3, 7/3^1/4, 7/3^3/4, 7/3^5/4, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^6/5, 7/3^5/6, 7/3^3/7, 7/3^4/7, 7/3^6/7, 5/4, 125/64, 3125/1024, 15625/4096, 5/4^1/2, 5/4^3/2, 5/4^5/3, 5/4^7/3, 5/4^1/4, 5/4^3/4, 5/4^1/5, 5/4^6/5, 5/4^1/6, 5/4^7/6, 5/4^1/7, 5/4^5/7, 49/16, 2401/256, 16807/1024, 117649/4096, 7/4^5/2, 7/4^2/3, 7/4^4/3, 7/4^3/4, 7/4^5/4, 7/4^1/5, 7/4^2/5, 7/4^3/5, 7/4^6/5, 7/4^5/6, 7/4^7/6, 7/4^2/7, 7/4^4/7, 7/4^6/7, 36/25, 1296/625, 7776/3125, 279936/78125, 6/5^3/2, 6/5^7/2, 6/5^7/3, 6/5^1/4, 6/5^5/4, 6/5^7/4, 6/5^1/5, 6/5^3/5, 6/5^6/5, 6/5^1/6, 6/5^7/6, 6/5^1/7, 6/5^2/7, 6/5^4/7, 6/5^6/7, 7/5, 49/25, 343/125, 2401/625, 823543/78125, 7/5^1/2, 7/5^7/2, 7/5^1/3, 7/5^2/3, 7/5^5/4, 7/5^7/4, 7/5^4/5, 7/5^7/5, 7/5^1/6, 7/5^1/7, 7/6, 343/216, 7/6^1/3, 7/6^2/3, 7/6^7/3, 7/6^1/4, 7/6^7/4, 7/6^1/5, 7/6^7/5, 7/6^1/6, 7/6^1/7, 7/6^2/7, 7/6^5/7
=== CS size 13 ===
136 scales in total: 81, 243, 3^1/2, 3^5/2, 3^2/3, 3^5/3, 3^5/4, 3^3/5, 3^7/5, 3^6/7, 25, 125, 15625, 5^7/4, 5^2/5, 5^6/5, 5^5/6, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 1296, 7776, 6^7/2, 6^7/3, 6^1/4, 6^3/4, 6^2/5, 6^4/5, 6^7/6, 6^6/7, 16807, 823543, 7^3/2, 7^5/2, 7^1/3, 7^7/5, 7^5/6, 7^3/7, 7^5/7, 81/16, 243/32, 3/2^7/2, 3/2^4/3, 3/2^5/3, 3/2^7/4, 3/2^3/5, 3/2^4/7, 25/4, 125/8, 15625/64, 5/2^1/2, 5/2^3/2, 5/2^5/3, 5/2^3/4, 5/2^5/4, 5/2^3/5, 5/2^4/5, 5/2^1/6, 5/2^5/7, 16807/32, 823543/128, 7/2^2/3, 7/2^5/3, 7/2^7/3, 7/2^3/4, 7/2^1/5, 7/2^4/7, 256/81, 1024/243, 4/3^1/2, 4/3^5/2, 4/3^7/3, 4/3^1/6, 4/3^5/6, 4/3^1/7, 4/3^6/7, 125/27, 625/81, 5/3^4/3, 5/3^7/5, 5/3^2/7, 117649/729, 7/3^5/2, 7/3^5/3, 7/3^4/5, 7/3^1/6, 7/3^5/6, 7/3^2/7, 7/3^6/7, 25/16, 125/64, 15625/4096, 5/4^2/3, 5/4^1/5, 5/4^1/6, 5/4^1/7, 16807/1024, 823543/16384, 7/4^3/2, 7/4^5/2, 7/4^4/3, 7/4^5/3, 7/4^1/4, 7/4^5/4, 7/4^4/5, 7/4^6/5, 7/4^7/6, 7/4^3/7, 216/125, 1296/625, 6/5^5/2, 6/5^4/3, 6/5^1/4, 6/5^1/5, 6/5^4/5, 6/5^1/6, 6/5^5/6, 6/5^1/7, 6/5^2/7, 49/25, 2401/625, 7/5^5/2, 7/5^4/3, 7/5^1/7, 7/5^3/7, 7/5^5/7, 117649/46656, 7/6^3/2, 7/6^7/2, 7/6^1/3, 7/6^1/4, 7/6^1/5, 7/6^1/6, 7/6^1/7, 7/6^2/7
=== CS size 14 ===
152 scales in total: 729, 3^5/2, 3^1/3, 3^2/3, 3^5/4, 3^3/5, 3^4/5, 3^1/6, 3^5/7, 125, 15625, 78125, 5^3/2, 5^7/2, 5^5/3, 5^3/4, 5^7/4, 5^1/5, 5^2/5, 5^4/5, 5^7/5, 5^5/6, 5^3/7, 5^6/7, 46656, 6^5/2, 6^7/2, 6^1/3, 6^7/3, 6^3/4, 6^7/4, 6^1/5, 6^2/5, 6^4/5, 6^7/6, 6^2/7, 6^4/7, 16807, 7^5/2, 7^1/3, 7^2/3, 7^4/3, 7^5/4, 7^7/5, 7^1/6, 7^5/7, 729/64, 3/2^5/2, 3/2^7/2, 3/2^5/3, 3/2^5/4, 3/2^7/4, 3/2^4/5, 3/2^5/6, 3/2^3/7, 3/2^6/7, 125/8, 15625/64, 78125/128, 5/2^3/2, 5/2^3/4, 5/2^1/5, 5/2^2/5, 5/2^4/5, 5/2^5/7, 5/2^6/7, 16807/32, 7/2^5/2, 7/2^5/3, 7/2^5/4, 7/2^7/5, 7/2^5/6, 7/2^1/7, 7/2^2/7, 7/2^4/7, 4096/729, 4/3^5/2, 4/3^1/3, 4/3^7/3, 4/3^5/4, 4/3^6/5, 4/3^1/6, 4/3^7/6, 4/3^1/7, 5/3, 25/9, 625/81, 5/3^2/3, 5/3^4/3, 5/3^7/5, 5/3^7/6, 5/3^5/7, 7/3^5/2, 7/3^5/3, 7/3^5/4, 7/3^7/4, 7/3^2/5, 7/3^3/5, 7/3^4/5, 7/3^6/5, 7/3^5/6, 7/3^3/7, 7/3^5/7, 7/3^6/7, 125/64, 15625/4096, 78125/16384, 5/4^3/2, 5/4^7/2, 5/4^5/3, 5/4^1/5, 5/4^2/5, 5/4^4/5, 5/4^1/6, 5/4^5/6, 5/4^1/7, 5/4^3/7, 16807/1024, 7/4^5/2, 7/4^1/3, 7/4^2/3, 7/4^5/4, 7/4^3/5, 7/4^6/5, 7/4^7/5, 7/4^1/6, 7/4^7/6, 6/5, 36/25, 1296/625, 6/5^1/2, 6/5^1/4, 6/5^1/5, 6/5^1/6, 6/5^1/7, 7/5, 49/25, 2401/625, 7/5^3/2, 7/5^7/3, 7/5^1/7, 7/5^2/7, 7/6^7/3, 7/6^1/4, 7/6^1/5, 7/6^3/5, 7/6^6/5, 7/6^1/6, 7/6^7/6, 7/6^1/7, 7/6^2/7, 7/6^4/7
=== CS size 15 ===
124 scales in total: 3^5/2, 3^2/3, 3^3/4, 3^5/4, 3^1/5, 3^3/5, 3^5/6, 3^3/7, 5, 125, 5^5/2, 5^7/4, 5^5/6, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 6^7/2, 6^5/3, 6^7/3, 6^3/4, 6^2/5, 6^1/6, 6^7/6, 7, 16807, 7^5/2, 7^1/3, 7^5/3, 7^1/5, 7^3/5, 7^2/7, 7^5/7, 3/2^7/2, 3/2^1/3, 3/2^5/3, 3/2^3/4, 3/2^7/4, 3/2^7/6, 5/2, 125/8, 5/2^3/2, 5/2^1/3, 5/2^1/4, 5/2^3/4, 5/2^7/4, 5/2^4/5, 5/2^1/7, 5/2^3/7, 5/2^5/7, 7/2, 16807/32, 7/2^7/2, 7/2^5/3, 7/2^4/7, 4/3^5/2, 4/3^5/3, 4/3^7/3, 4/3^3/4, 4/3^4/5, 4/3^1/7, 625/81, 3125/243, 5/3^4/3, 5/3^1/4, 5/3^3/5, 5/3^7/5, 5/3^3/7, 343/27, 823543/2187, 7/3^5/2, 7/3^2/3, 7/3^5/3, 7/3^4/5, 7/3^5/6, 7/3^6/7, 5/4, 125/64, 5/4^5/2, 5/4^4/3, 5/4^7/4, 5/4^1/5, 5/4^3/5, 5/4^1/6, 5/4^1/7, 5/4^4/7, 7/4, 16807/1024, 7/4^5/2, 7/4^5/4, 7/4^2/5, 7/4^6/5, 7/4^5/6, 7/4^7/6, 7/4^6/7, 1296/625, 7776/3125, 6/5^5/3, 6/5^1/4, 6/5^3/4, 6/5^5/4, 6/5^1/5, 6/5^6/5, 6/5^1/6, 6/5^1/7, 6/5^5/7, 49/25, 2401/625, 7/5^2/3, 7/5^5/3, 7/5^2/5, 7/5^7/5, 7/5^7/6, 343/216, 823543/279936, 7/6^5/2, 7/6^1/4, 7/6^1/5, 7/6^7/5, 7/6^1/6, 7/6^5/6, 7/6^1/7, 7/6^2/7, 7/6^6/7
=== CS size 16 ===
199 scales in total: 3, 9, 27, 81, 729, 3^5/2, 3^1/3, 3^2/3, 3^4/3, 3^5/4, 3^3/5, 25, 125, 625, 5^3/2, 5^7/6, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 6, 36, 216, 1296, 46656, 6^1/2, 6^3/2, 6^7/2, 6^7/3, 6^1/4, 6^3/4, 6^5/4, 6^7/4, 6^1/5, 6^2/5, 6^7/6, 6^4/7, 16807, 823543, 7^1/2, 7^5/2, 7^7/2, 7^1/4, 7^5/4, 7^2/5, 7^4/5, 7^1/6, 7^5/6, 7^1/7, 7^5/7, 7^6/7, 3/2, 9/4, 27/8, 81/16, 729/64, 3/2^1/2, 3/2^3/2, 3/2^7/2, 3/2^5/3, 3/2^7/4, 3/2^1/5, 3/2^2/5, 3/2^3/5, 3/2^4/5, 3/2^6/5, 3/2^7/5, 3/2^5/6, 3/2^2/7, 3/2^4/7, 3/2^6/7, 25/4, 125/8, 625/16, 5/2^1/2, 5/2^3/2, 5/2^2/3, 5/2^4/3, 5/2^3/4, 5/2^5/4, 5/2^2/5, 5/2^4/5, 5/2^6/5, 5/2^4/7, 5/2^5/7, 16807/32, 823543/128, 7/2^3/2, 7/2^5/2, 7/2^4/3, 7/2^5/3, 7/2^3/4, 7/2^6/5, 7/2^7/5, 7/2^5/6, 7/2^2/7, 7/2^4/7, 7/2^5/7, 4/3, 16/9, 64/27, 256/81, 4096/729, 4/3^5/2, 4/3^7/3, 4/3^5/4, 4/3^3/5, 4/3^6/5, 4/3^5/6, 4/3^7/6, 4/3^1/7, 4/3^2/7, 4/3^3/7, 4/3^4/7, 4/3^5/7, 4/3^6/7, 25/9, 625/81, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^7/4, 5/3^2/5, 5/3^4/5, 5/3^6/5, 5/3^7/5, 5/3^1/6, 5/3^5/7, 16807/243, 117649/729, 7/3^5/2, 7/3^1/3, 7/3^5/3, 7/3^5/4, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^6/5, 7/3^7/5, 7/3^5/6, 7/3^1/7, 7/3^2/7, 7/3^3/7, 7/3^6/7, 25/16, 125/64, 625/256, 5/4^3/2, 5/4^7/3, 5/4^3/4, 5/4^5/4, 5/4^1/6, 5/4^1/7, 16807/1024, 823543/16384, 7/4^1/2, 7/4^5/2, 7/4^7/2, 7/4^5/3, 7/4^7/3, 7/4^5/4, 7/4^7/4, 7/4^3/5, 7/4^4/5, 7/4^6/5, 7/4^7/6, 7/4^1/7, 7/4^3/7, 36/25, 1296/625, 6/5^5/2, 6/5^2/3, 6/5^4/3, 6/5^1/5, 6/5^1/6, 6/5^1/7, 6/5^3/7, 7/5, 49/25, 2401/625, 7/5^1/2, 7/5^4/3, 7/5^1/4, 7/5^3/5, 7/5^5/6, 7/5^5/7, 7/5^6/7, 16807/7776, 117649/46656, 7/6^1/2, 7/6^3/2, 7/6^4/3, 7/6^7/3, 7/6^1/4, 7/6^3/4, 7/6^1/5, 7/6^4/5, 7/6^1/6, 7/6^1/7
=== CS size 17 ===
85 scales in total: 3^5/2, 3^2/3, 3^1/4, 3^5/4, 3^3/5, 125, 3125, 5^3/5, 5^1/6, 5^3/7, 5^6/7, 6^7/2, 6^2/3, 6^7/3, 6^2/5, 6^7/6, 49, 16807, 7^5/2, 7^7/6, 7^4/7, 7^5/7, 3/2^7/2, 3/2^2/3, 3/2^5/3, 3/2^7/4, 125/8, 3125/32, 5/2^3/2, 5/2^3/4, 5/2^4/5, 5/2^5/7, 49/4, 16807/32, 7/2^1/3, 7/2^5/3, 7/2^2/5, 7/2^4/7, 4/3^5/2, 4/3^2/3, 4/3^7/3, 4/3^7/4, 625/81, 5/3^4/3, 5/3^7/3, 5/3^7/5, 5/3^5/6, 7/3^1/2, 7/3^5/2, 7/3^7/2, 7/3^5/3, 7/3^4/5, 7/3^5/6, 7/3^6/7, 125/64, 3125/1024, 5/4^6/5, 5/4^1/6, 5/4^1/7, 5/4^6/7, 49/16, 16807/1024, 7/4^5/2, 7/4^3/4, 7/4^5/4, 7/4^6/5, 7/4^7/6, 1296/625, 6/5^3/2, 6/5^7/3, 6/5^1/5, 6/5^1/6, 6/5^1/7, 49/25, 2401/625, 823543/78125, 7/5^5/4, 7/5^4/5, 7/5^4/7, 7/6^1/4, 7/6^5/4, 7/6^7/4, 7/6^1/5, 7/6^1/6, 7/6^1/7
=== CS size 18 ===
190 scales in total: 729, 3^1/2, 3^5/2, 3^1/3, 3^5/4, 3^1/5, 3^2/5, 3^3/5, 3^1/6, 3^5/6, 3^3/7, 5, 125, 78125, 5^1/2, 5^3/2, 5^7/3, 5^1/4, 5^3/4, 5^6/5, 5^7/5, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 46656, 6^7/2, 6^7/3, 6^7/4, 6^1/5, 6^2/5, 6^6/5, 6^5/6, 6^7/6, 6^1/7, 6^2/7, 6^3/7, 6^4/7, 343, 16807, 117649, 7^3/2, 7^5/2, 7^4/3, 7^5/3, 7^3/4, 7^5/4, 7^3/5, 7^6/5, 7^3/7, 7^5/7, 729/64, 3/2^7/2, 3/2^5/3, 3/2^7/3, 3/2^7/4, 3/2^5/6, 3/2^7/6, 3/2^3/7, 3/2^5/7, 3/2^6/7, 5/2, 125/8, 78125/128, 5/2^3/2, 5/2^7/2, 5/2^5/3, 5/2^1/4, 5/2^3/4, 5/2^7/4, 5/2^1/5, 5/2^2/5, 5/2^3/5, 5/2^5/6, 343/8, 16807/32, 117649/64, 7/2^5/2, 7/2^7/2, 7/2^2/3, 7/2^5/3, 7/2^5/4, 7/2^7/4, 7/2^5/6, 7/2^7/6, 7/2^1/7, 7/2^2/7, 7/2^4/7, 4096/729, 4/3^1/2, 4/3^5/2, 4/3^7/3, 4/3^1/4, 4/3^5/4, 4/3^2/5, 4/3^4/5, 4/3^6/5, 4/3^7/5, 4/3^7/6, 5/3, 25/9, 125/27, 625/81, 3125/243, 15625/729, 78125/2187, 5/3^1/2, 5/3^3/2, 5/3^5/2, 5/3^7/2, 5/3^2/3, 5/3^4/3, 5/3^7/5, 5/3^1/7, 5/3^2/7, 5/3^3/7, 5/3^4/7, 5/3^5/7, 5/3^6/7, 343/27, 2401/81, 7/3^3/2, 7/3^4/3, 7/3^5/3, 7/3^5/4, 7/3^2/5, 7/3^3/5, 7/3^4/5, 7/3^1/6, 7/3^5/6, 7/3^7/6, 7/3^3/7, 7/3^6/7, 5/4, 125/64, 78125/16384, 5/4^1/2, 5/4^3/2, 5/4^1/3, 5/4^4/5, 5/4^1/6, 5/4^1/7, 343/64, 16807/1024, 117649/4096, 7/4^3/2, 7/4^5/2, 7/4^1/4, 7/4^5/4, 7/4^1/5, 7/4^2/5, 7/4^3/5, 7/4^6/5, 7/4^5/6, 7/4^5/7, 6/5, 36/25, 216/125, 1296/625, 7776/3125, 46656/15625, 279936/78125, 6/5^5/4, 6/5^1/5, 6/5^2/5, 6/5^3/5, 6/5^4/5, 6/5^6/5, 6/5^7/5, 6/5^1/6, 6/5^1/7, 7/5, 49/25, 16807/3125, 7/5^5/2, 7/5^1/3, 7/5^2/3, 7/5^3/4, 7/5^6/5, 7/5^7/5, 7/5^3/7, 343/216, 2401/1296, 7/6^5/3, 7/6^7/3, 7/6^1/5, 7/6^1/6, 7/6^7/6, 7/6^1/7, 7/6^5/7
=== CS size 19 ===
94 scales in total: 81, 3^5/2, 3^7/2, 3^5/4, 3^3/5, 3^7/6, 3^2/7, 125, 5^2/3, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 1296, 6^7/2, 6^4/3, 6^7/3, 6^2/5, 6^3/5, 6^7/6, 6^5/7, 16807, 823543, 7^5/2, 7^7/3, 7^5/6, 7^5/7, 81/16, 3/2^7/2, 3/2^5/3, 3/2^1/4, 3/2^7/4, 3/2^3/5, 3/2^4/7, 125/8, 5/2^1/2, 5/2^3/2, 5/2^3/4, 5/2^5/4, 5/2^7/5, 16807/32, 823543/128, 7/2^5/3, 7/2^1/4, 7/2^4/5, 7/2^4/7, 7/2^6/7, 256/81, 4/3^5/2, 4/3^7/2, 4/3^4/3, 4/3^7/3, 4/3^5/6, 625/81, 5/3^4/3, 5/3^3/4, 5/3^1/5, 5/3^7/5, 49/9, 117649/729, 7/3^5/3, 7/3^7/3, 7/3^4/5, 7/3^5/6, 7/3^2/7, 7/3^6/7, 125/64, 5/4^7/5, 5/4^1/7, 16807/1024, 823543/16384, 7/4^5/2, 7/4^5/3, 7/4^5/4, 7/4^6/5, 7/4^3/7, 1296/625, 6/5^5/2, 6/5^4/3, 6/5^1/5, 6/5^1/6, 6/5^1/7, 6/5^4/7, 49/25, 7/5^4/3, 7/5^7/4, 7/5^5/7, 49/36, 117649/46656, 7/6^3/2, 7/6^2/3, 7/6^1/5, 7/6^1/6, 7/6^1/7
=== CS size 20 ===
115 scales in total: 27, 729, 2187, 3^3/2, 3^5/2, 3^3/4, 3^5/4, 3^3/5, 3^6/5, 3^4/7, 125, 5^3/2, 5^5/2, 5^4/3, 5^5/4, 5^3/7, 5^6/7, 216, 46656, 279936, 6^7/2, 6^7/3, 6^7/4, 6^1/5, 6^2/5, 6^7/5, 6^7/6, 6^4/7, 7, 16807, 7^5/2, 7^5/4, 7^4/5, 7^2/7, 7^5/7, 27/8, 729/64, 2187/128, 3/2^7/2, 3/2^1/3, 3/2^5/3, 3/2^7/4, 3/2^1/6, 3/2^5/6, 3/2^6/7, 125/8, 5/2^3/2, 5/2^4/3, 5/2^3/4, 5/2^1/7, 5/2^2/7, 5/2^4/7, 7/2, 16807/32, 7/2^1/2, 7/2^5/2, 7/2^5/3, 7/2^5/6, 7/2^2/7, 7/2^4/7, 64/27, 4096/729, 16384/2187, 4/3^3/2, 4/3^5/2, 4/3^7/3, 4/3^5/4, 4/3^3/5, 4/3^6/5, 4/3^7/6, 4/3^4/7, 25/9, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^7/5, 7/3^5/3, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^5/6, 7/3^3/7, 7/3^6/7, 125/64, 5/4^3/2, 5/4^5/2, 5/4^7/3, 5/4^3/4, 5/4^3/5, 5/4^7/6, 5/4^1/7, 5/4^2/7, 7/4, 16807/1024, 7/4^5/2, 7/4^5/4, 7/4^3/5, 7/4^6/5, 36/25, 6/5^3/4, 6/5^1/6, 6/5^1/7, 6/5^5/7, 7/5, 49/25, 7/5^1/2, 7/5^5/3, 7/5^1/5, 7/5^2/5, 7/6^7/3, 7/6^1/5, 7/6^1/6, 7/6^1/7, 7/6^3/7, 7/6^6/7
=== CS size 21 ===
92 scales in total: 3^5/2, 3^5/4, 3^7/4, 3^1/5, 3^5/6, 3^1/7, 3^3/7, 5, 125, 5^1/3, 5^4/5, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 6^7/2, 6^1/3, 6^7/3, 6^2/5, 6^7/6, 2401, 16807, 7^1/2, 7^5/2, 7^5/3, 7^1/7, 7^5/7, 7^6/7, 3/2^7/2, 3/2^5/3, 3/2^7/4, 3/2^7/6, 5/2, 125/8, 5/2^3/2, 5/2^1/4, 5/2^3/4, 2401/16, 16807/32, 7/2^7/2, 7/2^4/3, 7/2^5/3, 7/2^3/7, 7/2^4/7, 4/3^5/2, 4/3^1/3, 4/3^7/3, 4/3^4/5, 5/3^4/3, 5/3^5/3, 5/3^4/5, 5/3^7/5, 5/3^7/6, 5/3^3/7, 7/3, 343/27, 7/3^1/3, 7/3^5/3, 7/3^7/4, 7/3^4/5, 7/3^5/6, 5/4, 125/64, 5/4^5/4, 5/4^1/7, 5/4^3/7, 5/4^5/7, 2401/256, 16807/1024, 7/4^1/2, 7/4^5/2, 7/4^5/4, 7/4^2/5, 7/4^6/5, 7/4^1/6, 7/4^5/6, 7/4^2/7, 6/5^5/4, 6/5^1/6, 6/5^1/7, 6/5^6/7, 49/25, 7/5^2/3, 7/5^7/5, 7/5^5/6, 7/5^2/7, 7/6, 343/216, 7/6^1/5, 7/6^3/5, 7/6^1/6, 7/6^1/7
=== CS size 22 ===
159 scales in total: 9, 81, 729, 3^5/2, 3^7/3, 3^1/4, 3^5/4, 3^7/5, 3^5/7, 125, 3125, 78125, 5^3/2, 5^7/2, 5^5/3, 5^3/4, 5^3/5, 5^7/5, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 36, 1296, 46656, 6^7/3, 6^7/4, 6^1/5, 6^2/5, 6^1/6, 6^7/6, 6^2/7, 6^4/7, 6^6/7, 16807, 823543, 7^5/2, 7^7/2, 7^2/3, 7^4/3, 7^5/4, 7^7/4, 7^5/6, 7^4/7, 7^5/7, 9/4, 81/16, 729/64, 3/2^2/3, 3/2^4/3, 3/2^5/3, 3/2^7/4, 3/2^5/6, 3/2^1/7, 3/2^2/7, 3/2^3/7, 3/2^4/7, 3/2^6/7, 125/8, 3125/32, 78125/128, 5/2^1/2, 5/2^3/2, 5/2^5/2, 5/2^7/3, 5/2^3/4, 5/2^5/4, 5/2^1/6, 5/2^3/7, 5/2^6/7, 16807/32, 823543/128, 7/2^5/2, 7/2^1/3, 7/2^5/3, 7/2^7/3, 7/2^5/4, 7/2^3/5, 7/2^6/5, 7/2^1/6, 7/2^5/6, 7/2^1/7, 7/2^2/7, 7/2^4/7, 16/9, 256/81, 4096/729, 4/3^5/2, 4/3^7/3, 4/3^5/4, 4/3^6/5, 4/3^5/6, 4/3^7/6, 5/3, 5/3^2/3, 5/3^4/3, 5/3^7/5, 117649/729, 7/3^5/3, 7/3^1/4, 7/3^2/5, 7/3^4/5, 7/3^5/6, 7/3^1/7, 7/3^2/7, 7/3^4/7, 7/3^5/7, 125/64, 3125/1024, 78125/16384, 5/4^3/2, 5/4^7/2, 5/4^2/3, 5/4^4/3, 5/4^7/4, 5/4^2/5, 5/4^4/5, 16807/1024, 823543/16384, 7/4^5/2, 7/4^7/2, 7/4^5/3, 7/4^3/4, 7/4^5/4, 7/4^3/5, 7/4^6/5, 7/4^7/5, 7/4^3/7, 6/5, 6/5^1/2, 6/5^3/2, 6/5^5/2, 6/5^1/3, 6/5^2/3, 6/5^1/6, 6/5^5/6, 6/5^7/6, 6/5^1/7, 7/5, 49/25, 117649/15625, 823543/78125, 7/5^7/2, 7/5^7/3, 7/5^5/4, 7/5^7/6, 7/5^5/7, 117649/46656, 7/6^3/2, 7/6^7/2, 7/6^7/3, 7/6^3/4, 7/6^7/4, 7/6^1/5, 7/6^2/5, 7/6^1/6, 7/6^7/6, 7/6^1/7, 7/6^4/7
=== CS size 23 ===
60 scales in total: 3^1/2, 3^5/2, 3^5/4, 125, 625, 5^7/6, 5^3/7, 5^6/7, 6^1/2, 6^7/3, 6^2/5, 6^7/6, 16807, 7^5/2, 7^3/7, 7^5/7, 3/2^1/2, 3/2^5/3, 3/2^7/4, 125/8, 625/16, 5/2^3/2, 5/2^5/3, 5/2^3/4, 5/2^3/5, 5/2^7/6, 16807/32, 7/2^3/2, 7/2^2/3, 7/2^5/3, 7/2^4/7, 7/2^5/7, 4/3^1/2, 4/3^5/2, 4/3^7/3, 5/3^4/3, 5/3^7/4, 5/3^7/5, 7/3^5/3, 7/3^4/5, 7/3^7/5, 7/3^1/6, 7/3^5/6, 125/64, 625/256, 16807/1024, 7/4^5/2, 7/4^1/4, 7/4^5/4, 7/4^6/5, 7/4^4/7, 6/5^7/4, 6/5^4/5, 6/5^1/7, 49/25, 343/125, 7/5^3/5, 7/5^3/7, 7/6^1/6, 7/6^1/7
=== CS size 24 ===
123 scales in total: 27, 729, 3^5/2, 3^5/3, 3^5/4, 3^5/6, 3^3/7, 3^6/7, 5, 125, 5^1/2, 5^3/2, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 216, 46656, 6^3/2, 6^7/3, 6^1/5, 6^2/5, 6^7/6, 16807, 7^5/2, 7^5/3, 7^5/4, 7^1/5, 7^2/5, 7^4/5, 7^5/7, 27/8, 729/64, 3/2^3/2, 3/2^5/3, 3/2^3/4, 3/2^7/4, 3/2^5/6, 3/2^6/7, 5/2, 125/8, 5/2^3/2, 5/2^1/3, 5/2^2/3, 5/2^1/4, 5/2^3/4, 5/2^4/7, 16807/32, 7/2^5/2, 7/2^7/2, 7/2^5/3, 7/2^7/4, 7/2^1/5, 7/2^5/6, 7/2^2/7, 7/2^4/7, 64/27, 4096/729, 4/3^5/2, 4/3^7/3, 4/3^5/4, 4/3^1/5, 4/3^2/5, 4/3^3/5, 4/3^4/5, 4/3^6/5, 4/3^7/6, 4/3^2/7, 78125/2187, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^7/3, 5/3^5/4, 5/3^3/5, 5/3^7/5, 5/3^1/6, 343/27, 823543/2187, 7/3^3/2, 7/3^7/2, 7/3^5/3, 7/3^3/4, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^5/6, 5/4, 125/64, 5/4^1/2, 5/4^3/2, 5/4^7/3, 5/4^1/4, 5/4^3/4, 16807/1024, 7/4^5/2, 7/4^5/4, 7/4^1/5, 7/4^2/5, 7/4^3/5, 7/4^6/5, 7/4^5/6, 279936/78125, 6/5^7/2, 6/5^5/3, 6/5^5/4, 6/5^1/7, 7/5, 49/25, 7/5^1/2, 7/5^1/3, 7/5^2/3, 7/5^1/4, 7/5^7/5, 7/5^1/6, 343/216, 823543/279936, 7/6^5/2, 7/6^7/3, 7/6^5/4, 7/6^1/6, 7/6^1/7, 7/6^5/7
=== CS size 25 ===
89 scales in total: 81, 3^5/2, 3^4/3, 3^5/4, 3^4/5, 125, 5^5/2, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 1296, 6^7/3, 6^2/5, 6^7/6, 7, 343, 16807, 7^5/2, 7^5/6, 7^2/7, 7^5/7, 81/16, 3/2^1/3, 3/2^5/3, 3/2^5/4, 3/2^7/4, 3/2^1/5, 3/2^4/7, 125/8, 5/2^1/2, 5/2^3/2, 5/2^3/4, 5/2^5/4, 7/2, 343/8, 16807/32, 7/2^5/3, 7/2^4/7, 256/81, 4/3^5/2, 4/3^7/3, 4/3^5/6, 15625/729, 5/3^4/3, 5/3^6/5, 5/3^7/5, 5/3^4/7, 16807/243, 117649/729, 7/3^5/3, 7/3^4/5, 7/3^5/6, 7/3^7/6, 125/64, 5/4^5/2, 5/4^3/5, 5/4^5/6, 7/4, 343/64, 16807/1024, 7/4^5/2, 7/4^1/3, 7/4^5/3, 7/4^7/3, 7/4^5/4, 7/4^6/5, 7/4^1/7, 7/4^3/7, 7/4^5/7, 46656/15625, 6/5^5/2, 6/5^3/4, 6/5^1/7, 6/5^3/7, 49/25, 16807/3125, 7/5^3/2, 7/5^5/3, 7/5^2/5, 7/5^5/7, 16807/7776, 117649/46656, 7/6^1/2, 7/6^3/2, 7/6^6/5, 7/6^1/6, 7/6^1/7, 7/6^6/7
=== CS size 26 ===
101 scales in total: 243, 729, 3^5/2, 3^5/4, 125, 78125, 5^3/2, 5^3/4, 5^7/5, 5^3/7, 5^6/7, 7776, 46656, 6^7/3, 6^1/5, 6^2/5, 6^7/6, 6^1/7, 16807, 7^1/2, 7^5/2, 7^4/3, 7^1/4, 7^5/4, 7^6/5, 7^1/7, 7^5/7, 7^6/7, 243/32, 729/64, 3/2^5/3, 3/2^1/4, 3/2^7/4, 3/2^6/5, 3/2^5/6, 3/2^3/7, 3/2^6/7, 125/8, 78125/128, 5/2^3/2, 5/2^7/2, 5/2^3/4, 5/2^7/5, 16807/32, 7/2^5/2, 7/2^5/3, 7/2^5/4, 7/2^5/6, 7/2^1/7, 7/2^2/7, 7/2^4/7, 1024/243, 4096/729, 4/3^5/2, 4/3^7/3, 4/3^5/4, 4/3^6/5, 4/3^7/6, 4/3^5/7, 5/3^1/2, 5/3^2/3, 5/3^4/3, 5/3^1/4, 5/3^1/5, 5/3^2/5, 5/3^7/5, 7/3^1/3, 7/3^2/3, 7/3^4/3, 7/3^5/3, 7/3^7/3, 7/3^2/5, 7/3^4/5, 7/3^5/6, 125/64, 78125/16384, 5/4^3/2, 5/4^5/4, 5/4^4/5, 5/4^4/7, 16807/1024, 7/4^1/2, 7/4^5/2, 7/4^4/3, 7/4^5/4, 7/4^3/5, 7/4^6/5, 6/5^1/7, 6/5^2/7, 7/5, 49/25, 7/5^5/6, 7/6^1/3, 7/6^2/3, 7/6^4/3, 7/6^5/3, 7/6^7/3, 7/6^1/6, 7/6^5/6, 7/6^7/6, 7/6^1/7
=== CS size 27 ===
72 scales in total: 3^1/4, 3^5/4, 3^5/6, 3^3/7, 5, 125, 5^1/5, 5^3/5, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 6^5/2, 6^7/3, 6^2/5, 6^7/6, 6^3/7, 16807, 7^5/2, 7^5/3, 7^3/4, 7^4/7, 7^5/7, 3/2^5/2, 3/2^5/3, 3/2^7/4, 3/2^7/5, 5/2, 125/8, 5/2^3/2, 5/2^1/4, 5/2^3/4, 16807/32, 7/2^7/2, 7/2^1/3, 7/2^5/3, 7/2^7/6, 7/2^4/7, 4/3^7/3, 4/3^4/5, 4/3^3/7, 5/3^3/2, 5/3^4/3, 5/3^7/5, 5/3^1/7, 343/27, 2401/81, 7/3^4/5, 7/3^5/6, 5/4, 125/64, 5/4^1/3, 5/4^5/3, 16807/1024, 7/4^5/2, 7/4^2/3, 7/4^3/4, 7/4^5/4, 7/4^2/5, 7/4^6/5, 7/4^5/6, 6/5^3/2, 6/5^5/4, 49/25, 823543/78125, 7/5^2/3, 7/5^5/4, 7/5^7/5, 343/216, 2401/1296, 7/6^4/5, 7/6^1/7
=== CS size 28 ===
140 scales in total: 3, 9, 27, 81, 729, 3^1/2, 3^3/2, 3^5/4, 125, 15625, 5^3/2, 5^2/5, 5^4/5, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 6, 36, 216, 1296, 46656, 6^1/3, 6^2/3, 6^4/3, 6^5/3, 6^7/3, 6^1/5, 6^2/5, 6^3/5, 6^4/5, 6^6/5, 6^7/6, 7^5/2, 7^7/3, 7^5/4, 7^4/5, 7^7/5, 7^5/6, 7^7/6, 7^3/7, 7^5/7, 3/2, 9/4, 27/8, 81/16, 729/64, 3/2^5/3, 3/2^7/4, 3/2^5/6, 3/2^2/7, 3/2^4/7, 3/2^6/7, 125/8, 15625/64, 5/2^1/2, 5/2^3/2, 5/2^5/3, 5/2^3/4, 5/2^3/5, 5/2^6/5, 5/2^5/6, 5/2^2/7, 5/2^4/7, 7/2^5/2, 7/2^2/3, 7/2^5/3, 7/2^2/5, 7/2^4/5, 7/2^6/5, 7/2^5/6, 7/2^2/7, 7/2^4/7, 4/3, 16/9, 64/27, 256/81, 4096/729, 4/3^1/2, 4/3^3/2, 4/3^1/3, 4/3^2/3, 4/3^4/3, 4/3^5/3, 4/3^7/3, 4/3^1/4, 4/3^3/4, 4/3^7/4, 4/3^3/5, 4/3^6/5, 4/3^1/6, 4/3^5/6, 4/3^7/6, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^3/4, 5/3^7/5, 5/3^7/6, 49/9, 117649/729, 7/3^7/4, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^1/6, 7/3^5/6, 125/64, 15625/4096, 5/4^3/2, 5/4^7/3, 5/4^3/4, 5/4^7/6, 5/4^3/7, 5/4^6/7, 7/4^5/2, 7/4^5/3, 7/4^1/4, 7/4^5/4, 7/4^7/4, 7/4^3/5, 7/4^6/5, 7/4^3/7, 7/4^6/7, 6/5^5/2, 6/5^2/5, 7/5, 49/25, 7/5^1/2, 7/5^1/7, 7/5^2/7, 7/5^3/7, 7/5^4/7, 7/5^6/7, 49/36, 117649/46656, 7/6^3/2, 7/6^3/4, 7/6^7/5, 7/6^1/7
=== CS size 29 ===
38 scales in total: 3^5/4, 3^2/5, 125, 5^3/7, 5^6/7, 6^7/3, 6^5/4, 6^2/5, 6^1/6, 6^7/6, 7^5/2, 7^5/7, 3/2^5/3, 3/2^7/3, 3/2^7/4, 3/2^2/5, 125/8, 5/2^3/2, 5/2^3/4, 5/2^3/7, 7/2^5/3, 7/2^4/7, 4/3^7/3, 5/3^4/3, 5/3^7/5, 5/3^6/7, 7/3^4/5, 7/3^5/6, 125/64, 5/4^4/3, 7/4^5/2, 7/4^5/4, 7/4^6/5, 6/5^7/5, 49/25, 7/5^3/4, 7/5^7/6, 7/6^1/7
=== CS size 30 ===
148 scales in total: 729, 3^7/2, 3^5/4, 3^7/4, 3^6/5, 3^1/7, 3^2/7, 5, 25, 625, 78125, 5^1/2, 5^3/2, 5^5/2, 5^7/2, 5^1/3, 5^2/3, 5^4/3, 5^5/3, 5^7/3, 5^1/4, 5^3/4, 5^5/4, 5^7/4, 5^7/5, 5^1/6, 5^5/6, 5^7/6, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 46656, 6^7/3, 6^1/4, 6^1/5, 6^7/6, 7, 49, 7^5/2, 7^1/3, 7^2/3, 7^4/3, 7^5/4, 7^2/7, 7^5/7, 729/64, 3/2^1/3, 3/2^5/3, 3/2^7/4, 3/2^1/6, 3/2^5/6, 3/2^3/7, 3/2^5/7, 3/2^6/7, 5/2, 25/4, 625/16, 78125/128, 5/2^3/2, 5/2^1/4, 5/2^3/4, 7/2, 49/4, 7/2^1/2, 7/2^3/2, 7/2^7/2, 7/2^5/3, 7/2^1/4, 7/2^3/4, 7/2^5/4, 7/2^7/4, 7/2^5/6, 7/2^1/7, 7/2^2/7, 7/2^3/7, 7/2^4/7, 7/2^5/7, 7/2^6/7, 4096/729, 4/3^7/2, 4/3^7/3, 4/3^2/5, 4/3^4/5, 4/3^6/5, 4/3^7/5, 4/3^7/6, 4/3^6/7, 5/3^7/2, 5/3^2/3, 5/3^4/3, 5/3^7/4, 5/3^7/5, 5/3^5/6, 7/3, 343/27, 7/3^1/2, 7/3^3/2, 7/3^2/5, 7/3^4/5, 7/3^7/5, 7/3^5/6, 7/3^5/7, 5/4, 25/16, 625/256, 78125/16384, 5/4^1/2, 5/4^3/2, 5/4^5/2, 5/4^7/2, 5/4^1/5, 5/4^2/5, 5/4^3/5, 5/4^4/5, 5/4^6/5, 5/4^7/5, 7/4, 49/16, 7/4^5/2, 7/4^5/4, 7/4^1/5, 7/4^2/5, 7/4^3/5, 7/4^4/5, 7/4^6/5, 7/4^7/5, 7/4^5/6, 6/5^7/3, 6/5^1/4, 6/5^3/4, 6/5^5/4, 6/5^6/7, 7/5, 49/25, 7/5^1/3, 7/5^2/3, 7/5^1/5, 7/5^2/5, 7/5^3/5, 7/5^4/5, 7/5^6/5, 7/6, 343/216, 7/6^1/7, 7/6^2/7, 7/6^3/7, 7/6^4/7
=== CS size 31 ===
63 scales in total: 81, 2187, 3^5/4, 3^7/5, 3^4/7, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 1296, 279936, 6^7/3, 6^5/6, 6^7/6, 117649, 7^1/2, 7^5/2, 7^1/6, 7^5/6, 7^1/7, 7^5/7, 7^6/7, 81/16, 2187/128, 3/2^4/3, 3/2^5/3, 3/2^7/4, 3/2^4/5, 3/2^4/7, 5/2^1/2, 5/2^3/2, 5/2^3/4, 5/2^1/6, 117649/64, 7/2^5/3, 7/2^7/5, 256/81, 16384/2187, 4/3^7/3, 5/3^5/2, 5/3^4/3, 5/3^7/3, 5/3^7/5, 117649/729, 7/3^4/5, 7/3^6/5, 7/3^5/6, 5/4^5/4, 5/4^2/7, 117649/4096, 7/4^1/2, 7/4^5/2, 7/4^5/4, 7/4^6/5, 6/5^5/2, 6/5^3/5, 6/5^5/6, 49/25, 7/5^5/6, 117649/46656, 7/6^3/2, 7/6^7/2, 7/6^1/7
=== CS size 32 ===
77 scales in total: 27, 729, 3^7/3, 3^1/4, 3^5/4, 3^7/6, 5^3/5, 5^6/5, 5^3/7, 5^6/7, 216, 46656, 6^3/2, 6^3/4, 6^7/6, 6^5/7, 7^3/2, 7^5/2, 7^5/4, 7^2/5, 7^4/5, 7^4/7, 7^5/7, 27/8, 729/64, 3/2^3/2, 3/2^5/3, 3/2^7/4, 3/2^5/6, 3/2^6/7, 5/2^3/2, 5/2^3/4, 5/2^4/7, 7/2^1/3, 7/2^5/3, 7/2^1/6, 7/2^5/6, 64/27, 4096/729, 4/3^3/5, 4/3^6/5, 4/3^7/6, 4/3^1/7, 125/27, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^1/6, 5/3^2/7, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^5/6, 7/3^7/6, 7/3^4/7, 5/4^7/3, 5/4^3/4, 7/4^3/2, 7/4^5/2, 7/4^3/4, 7/4^5/4, 7/4^3/5, 7/4^6/5, 7/4^5/7, 216/125, 6/5^3/2, 6/5^4/7, 7/5, 49/25, 16807/3125, 823543/78125, 7/5^1/2, 7/5^5/2, 7/5^7/2, 7/5^1/4, 7/5^5/4, 7/5^7/4
=== CS size 33 ===
50 scales in total: 3^5/4, 3^1/6, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 6^7/5, 6^7/6, 7^5/2, 7^7/4, 7^3/7, 7^5/7, 3/2^5/3, 3/2^1/4, 3/2^7/4, 5/2^3/2, 5/2^1/3, 5/2^5/3, 5/2^1/4, 5/2^3/4, 5/2^1/5, 5/2^3/5, 7/2^7/2, 7/2^2/3, 7/2^5/3, 4/3^4/5, 5/3^4/3, 5/3^1/5, 5/3^3/5, 343/27, 823543/2187, 7/3^7/3, 7/3^3/5, 7/3^4/5, 7/3^1/6, 7/3^5/6, 7/4^5/2, 7/4^1/4, 7/4^5/4, 7/4^2/5, 7/4^5/6, 6/5^1/3, 6/5^5/4, 49/25, 117649/15625, 7/5^2/3, 343/216, 823543/279936, 7/6^5/2, 7/6^2/5
=== CS size 34 ===
87 scales in total: 9, 81, 729, 3^2/3, 3^4/3, 3^5/4, 78125, 5^7/5, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 36, 1296, 46656, 6^7/6, 2401, 7^5/2, 7^4/3, 7^5/4, 7^3/5, 7^5/6, 7^5/7, 9/4, 81/16, 729/64, 3/2^5/3, 3/2^7/4, 3/2^5/6, 3/2^1/7, 3/2^2/7, 3/2^3/7, 3/2^4/7, 3/2^6/7, 78125/128, 5/2^1/2, 5/2^3/2, 5/2^7/2, 5/2^7/3, 5/2^3/4, 5/2^7/4, 5/2^4/5, 5/2^7/6, 5/2^5/7, 2401/16, 7/2^5/3, 7/2^3/5, 7/2^6/5, 7/2^5/6, 16/9, 256/81, 4096/729, 4/3^6/5, 3125/243, 5/3^2/3, 5/3^4/3, 5/3^5/3, 16807/243, 117649/729, 7/3^5/2, 7/3^2/5, 7/3^4/5, 7/3^5/6, 78125/16384, 5/4^4/5, 5/4^5/7, 2401/256, 7/4^5/2, 7/4^5/4, 7/4^7/6, 7/4^1/7, 7/4^2/7, 7776/3125, 6/5^5/2, 6/5^6/5, 6/5^3/7, 7/5, 49/25, 343/125, 2401/625, 16807/7776, 117649/46656, 7/6^1/2, 7/6^3/2, 7/6^5/3, 7/6^1/4, 7/6^3/4
=== CS size 35 ===
37 scales in total: 3^1/3, 3^5/4, 5^5/2, 5^4/5, 5^3/7, 5^6/7, 6^1/3, 6^7/6, 7^5/2, 7^2/7, 7^5/7, 3/2^1/3, 3/2^5/3, 3/2^7/4, 5/2^3/2, 5/2^5/2, 5/2^3/4, 5/2^2/5, 7/2^5/3, 7/2^1/5, 4/3^1/3, 5/3^4/3, 5/3^7/6, 5/3^5/7, 7/3^1/4, 7/3^5/4, 7/3^7/4, 7/3^4/5, 7/3^5/6, 5/4^5/2, 5/4^3/7, 7/4^5/2, 7/4^5/4, 6/5^3/4, 6/5^7/6, 7/5^2/5, 7/5^2/7
=== CS size 36 ===
92 scales in total: 27, 729, 3^3/2, 3^3/4, 3^5/4, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 216, 46656, 6^1/6, 6^7/6, 6^3/7, 6^6/7, 7^1/2, 7^5/2, 7^1/4, 7^5/4, 7^4/5, 7^1/7, 7^5/7, 27/8, 729/64, 3/2^5/3, 3/2^7/4, 3/2^3/5, 3/2^6/5, 3/2^5/6, 3/2^6/7, 5/2^3/2, 5/2^1/4, 5/2^3/4, 5/2^1/7, 5/2^2/7, 5/2^4/7, 7/2^7/2, 7/2^5/3, 7/2^7/3, 7/2^7/4, 7/2^5/6, 7/2^7/6, 64/27, 4096/729, 4/3^3/2, 4/3^1/5, 4/3^2/5, 4/3^3/5, 4/3^4/5, 4/3^6/5, 4/3^5/7, 5/3^1/3, 5/3^2/3, 5/3^4/3, 343/27, 2401/81, 7/3^3/2, 7/3^3/4, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^5/6, 5/4^1/3, 5/4^2/3, 5/4^4/3, 5/4^7/3, 5/4^1/4, 5/4^5/4, 5/4^1/6, 5/4^7/6, 7/4^1/2, 7/4^5/2, 7/4^5/4, 7/4^1/5, 7/4^1/6, 7/4^5/6, 7/4^4/7, 6/5^4/3, 6/5^5/4, 6/5^7/4, 6/5^5/7, 7/5^1/2, 7/5^3/2, 7/5^1/3, 7/5^2/3, 7/5^4/3, 7/5^1/6, 7/5^5/6, 343/216, 2401/1296, 7/6^4/3, 7/6^3/5
=== CS size 37 ===
58 scales in total: 81, 3^1/4, 3^5/4, 3^5/7, 625, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 1296, 6^4/3, 6^7/6, 7^5/2, 7^5/6, 7^4/7, 7^5/7, 81/16, 3/2^5/3, 3/2^7/4, 3/2^4/7, 625/16, 5/2^1/2, 5/2^3/2, 5/2^4/3, 5/2^3/4, 5/2^6/7, 7/2^3/2, 7/2^1/3, 7/2^5/3, 7/2^4/5, 256/81, 4/3^4/3, 4/3^4/7, 5/3^4/3, 5/3^1/4, 5/3^3/4, 5/3^5/4, 5/3^7/4, 49/9, 117649/729, 7/3^2/3, 7/3^4/5, 7/3^7/5, 7/3^5/6, 625/256, 5/4^4/7, 7/4^5/2, 7/4^3/4, 7/4^5/4, 6/5^1/2, 6/5^3/2, 6/5^5/2, 6/5^7/2, 823543/78125, 7/5^7/3, 49/36, 117649/46656, 7/6^3/2
=== CS size 38 ===
55 scales in total: 729, 3^5/3, 3^5/4, 3^6/7, 78125, 5^7/2, 5^7/5, 5^3/7, 5^6/7, 46656, 6^6/5, 6^7/6, 7^5/2, 7^2/3, 7^4/3, 7^5/4, 7^3/7, 7^5/7, 729/64, 3/2^5/3, 3/2^7/4, 3/2^7/5, 3/2^5/6, 3/2^3/7, 3/2^6/7, 78125/128, 5/2^3/2, 5/2^5/3, 5/2^3/4, 5/2^5/6, 7/2^2/3, 7/2^4/3, 7/2^5/3, 7/2^5/6, 4096/729, 4/3^6/5, 625/81, 5/3^2/3, 5/3^4/3, 5/3^4/5, 7/3^2/5, 7/3^4/5, 7/3^1/6, 7/3^5/6, 7/3^5/7, 78125/16384, 5/4^7/2, 5/4^7/4, 5/4^2/5, 7/4^5/2, 7/4^1/4, 7/4^5/4, 1296/625, 6/5^1/5, 7/6^4/7
=== CS size 39 ===
47 scales in total: 243, 3^5/4, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 7776, 6^7/6, 7^5/2, 7^7/2, 7^7/6, 7^5/7, 243/32, 3/2^5/3, 3/2^7/4, 5/2^3/2, 5/2^1/4, 5/2^3/4, 7/2^7/2, 7/2^5/3, 7/2^3/7, 1024/243, 4/3^7/4, 4/3^4/5, 25/9, 5/3^4/3, 7/3, 343/27, 7/3^4/5, 7/3^5/6, 7/3^7/6, 7/3^1/7, 7/3^3/7, 7/4^5/2, 7/4^7/2, 7/4^4/3, 7/4^5/4, 7/4^5/6, 36/25, 6/5^2/3, 6/5^5/4, 6/5^2/7, 6/5^6/7, 16807/3125, 7/6, 343/216, 7/6^1/3
=== CS size 40 ===
107 scales in total: 3, 9, 27, 81, 729, 3^5/4, 3^1/5, 3^2/5, 3^3/5, 3^4/5, 3^6/5, 3^7/5, 3125, 5^5/2, 5^5/4, 5^2/7, 5^3/7, 5^5/7, 5^6/7, 6, 36, 216, 1296, 46656, 6^1/2, 6^3/2, 6^5/2, 6^7/6, 7^5/2, 7^5/4, 7^1/5, 7^2/5, 7^4/5, 7^5/6, 7^2/7, 7^5/7, 3/2, 9/4, 27/8, 81/16, 729/64, 3/2^1/2, 3/2^3/2, 3/2^5/2, 3/2^1/3, 3/2^2/3, 3/2^4/3, 3/2^7/3, 3/2^1/4, 3/2^3/4, 3/2^5/4, 3/2^7/4, 3/2^1/6, 3/2^5/6, 3/2^7/6, 3/2^2/7, 3/2^4/7, 3/2^6/7, 3125/32, 5/2^1/2, 5/2^3/2, 5/2^3/4, 5/2^1/6, 5/2^4/7, 7/2^5/3, 7/2^6/5, 7/2^5/6, 4/3, 16/9, 64/27, 256/81, 4096/729, 4/3^3/5, 4/3^6/5, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^1/6, 5/3^3/7, 117649/729, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^5/6, 7/3^6/7, 3125/1024, 5/4^5/2, 5/4^5/3, 5/4^7/3, 5/4^5/6, 7/4^5/2, 7/4^1/3, 7/4^2/3, 7/4^5/4, 6/5^5/3, 6/5^3/4, 6/5^5/6, 7/5^1/4, 7/5^3/4, 7/5^1/5, 7/5^6/7, 117649/46656, 7/6^3/2, 7/6^7/2, 7/6^3/4, 7/6^7/4, 7/6^6/5
=== CS size 41 ===
33 scales in total: 3^7/2, 3^5/4, 3^2/7, 5^2/3, 5^3/7, 5^6/7, 6^5/3, 6^7/6, 6^2/7, 7^1/2, 7^5/2, 7^1/7, 7^5/7, 3/2^7/4, 5/2^3/2, 5/2^2/3, 5/2^3/4, 7/2^5/3, 7/2^1/4, 4/3^7/2, 4/3^5/3, 4/3^2/7, 5/3, 5/3^4/3, 7/3^4/5, 7/3^5/6, 5/4^5/4, 7/4^1/2, 7/4^5/2, 7/4^5/4, 7/4^6/7, 6/5, 7/5^5/6
=== CS size 42 ===
83 scales in total: 729, 3^7/3, 3^1/4, 3^5/4, 78125, 5^7/3, 5^1/5, 5^2/5, 5^4/5, 5^7/5, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 46656, 6^7/2, 6^5/4, 6^7/6, 823543, 7^5/2, 7^5/4, 7^7/5, 7^4/7, 7^5/7, 729/64, 3/2^7/2, 3/2^7/4, 3/2^1/5, 3/2^3/7, 3/2^5/7, 3/2^6/7, 78125/128, 5/2^3/2, 5/2^7/2, 5/2^1/4, 5/2^3/4, 823543/128, 7/2^7/2, 7/2^1/3, 7/2^5/3, 7/2^7/4, 7/2^1/6, 7/2^5/6, 4096/729, 4/3^2/5, 4/3^4/5, 4/3^6/5, 4/3^7/5, 4/3^1/6, 5/3^2/3, 5/3^4/3, 5/3^3/5, 5/3^6/5, 5/3^7/6, 343/27, 823543/2187, 7/3^3/2, 7/3^7/2, 7/3^7/4, 7/3^2/5, 7/3^4/5, 7/3^5/6, 7/3^2/7, 7/3^4/7, 78125/16384, 5/4^1/7, 5/4^2/7, 823543/16384, 7/4^5/2, 7/4^7/3, 7/4^5/4, 7/4^5/6, 6/5^5/4, 6/5^4/5, 823543/78125, 7/5^7/2, 7/5^6/5, 7/5^1/7, 343/216, 823543/279936, 7/6^5/2, 7/6^5/4, 7/6^5/6
=== CS size 43 ===
54 scales in total: 81, 3^4/3, 3^5/4, 15625, 5^1/6, 5^2/7, 5^3/7, 5^6/7, 1296, 6^7/4, 6^4/5, 6^1/6, 6^7/6, 6^4/7, 49, 7^5/2, 7^5/6, 7^3/7, 7^5/7, 81/16, 3/2^4/7, 15625/64, 5/2^1/2, 5/2^3/2, 5/2^5/3, 5/2^3/4, 49/4, 7/2^2/3, 7/2^5/3, 256/81, 78125/2187, 5/3^4/3, 5/3^2/5, 5/3^5/6, 16807/243, 117649/729, 7/3^4/5, 7/3^1/6, 7/3^5/6, 15625/4096, 5/4^4/3, 5/4^6/5, 49/16, 7/4^5/2, 7/4^1/4, 7/4^5/4, 279936/78125, 6/5^7/3, 6/5^3/7, 16807/7776, 117649/46656, 7/6^1/2, 7/6^3/2, 7/6^5/7
=== CS size 44 ===
65 scales in total: 27, 729, 3^3/2, 3^5/4, 25, 625, 5^3/7, 5^6/7, 216, 46656, 6^5/6, 6^7/6, 343, 117649, 7^5/2, 7^5/4, 7^4/5, 7^5/7, 27/8, 729/64, 3/2^6/7, 25/4, 625/16, 5/2^3/2, 5/2^3/4, 5/2^2/7, 5/2^4/7, 343/8, 117649/64, 7/2^3/2, 7/2^5/3, 7/2^3/4, 7/2^5/6, 64/27, 4096/729, 4/3^3/2, 4/3^3/4, 4/3^3/5, 4/3^6/5, 4/3^3/7, 4/3^6/7, 15625/729, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^4/7, 7/3^1/5, 7/3^2/5, 7/3^4/5, 7/3^7/5, 7/3^5/6, 25/16, 625/256, 5/4^7/3, 5/4^7/6, 343/64, 117649/4096, 7/4^5/2, 7/4^5/4, 46656/15625, 6/5^1/6, 7/6^1/5, 7/6^2/5, 7/6^4/5, 7/6^7/5
=== CS size 45 ===
40 scales in total: 3^5/4, 5^5/2, 5^5/6, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 6^7/6, 6^1/7, 6^5/7, 7^5/2, 7^6/5, 7^2/7, 7^5/7, 5/2^3/2, 5/2^1/4, 5/2^3/4, 5/2^6/5, 7/2^7/2, 7/2^5/3, 7/2^7/6, 4/3^4/5, 5/3^1/2, 5/3^4/3, 343/27, 2401/81, 7/3^4/3, 7/3^4/5, 7/3^5/6, 5/4^5/2, 7/4^5/2, 7/4^5/4, 7/4^7/4, 7/4^5/6, 6/5^1/4, 6/5^3/4, 6/5^5/4, 343/125, 343/216, 2401/1296
=== CS size 46 ===
91 scales in total: 9, 81, 729, 3^5/4, 78125, 5^7/2, 5^7/4, 5^6/5, 5^7/5, 5^2/7, 5^3/7, 5^6/7, 36, 1296, 46656, 6^2/3, 6^4/3, 6^7/6, 7^1/2, 7^5/2, 7^1/3, 7^1/4, 7^3/4, 7^5/4, 7^1/6, 7^5/6, 7^1/7, 7^5/7, 9/4, 81/16, 729/64, 3/2^2/5, 3/2^4/5, 3/2^6/5, 3/2^1/7, 3/2^2/7, 3/2^3/7, 3/2^4/7, 3/2^6/7, 78125/128, 5/2^1/2, 5/2^3/2, 5/2^7/3, 5/2^3/4, 5/2^7/5, 7/2^5/3, 7/2^1/5, 7/2^2/5, 7/2^3/5, 7/2^4/5, 7/2^6/5, 7/2^5/6, 16/9, 256/81, 4096/729, 4/3^2/3, 4/3^4/3, 4/3^6/5, 5/3^3/2, 5/3^2/3, 5/3^4/3, 5/3^3/4, 5/3^1/7, 49/9, 117649/729, 7/3^2/5, 7/3^6/5, 7/3^5/6, 7/3^7/6, 7/3^5/7, 78125/16384, 5/4^7/2, 5/4^5/4, 5/4^1/5, 5/4^6/7, 7/4^1/2, 7/4^5/2, 7/4^5/4, 16807/3125, 7/5^5/2, 7/5^5/3, 7/5^5/6, 7/5^4/7, 49/36, 117649/46656, 7/6^3/2, 7/6^2/3, 7/6^3/4, 7/6^2/7, 7/6^4/7, 7/6^6/7
=== CS size 47 ===
28 scales in total: 3^1/4, 3^5/4, 5^3/7, 5^6/7, 6^1/4, 6^7/6, 2401, 7^5/2, 7^4/7, 7^5/7, 3/2^1/4, 5/2^3/2, 5/2^3/4, 2401/16, 7/2^1/3, 7/2^5/3, 4/3^1/4, 5/3^4/3, 7/3^5/6, 5/4^5/7, 2401/256, 7/4^5/2, 7/4^5/4, 7/4^4/5, 7/4^2/7, 6/5^2/5, 823543/78125, 7/5^3/2
=== CS size 48 ===
72 scales in total: 27, 729, 3^5/4, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 216, 46656, 6^3/2, 6^3/4, 6^3/5, 6^6/5, 6^7/6, 7^5/2, 7^7/3, 7^5/4, 7^2/5, 7^4/5, 7^3/7, 7^5/7, 27/8, 729/64, 3/2^3/2, 3/2^6/7, 5/2^3/2, 5/2^5/3, 5/2^1/4, 5/2^3/4, 5/2^5/4, 5/2^5/6, 5/2^4/7, 7/2^5/3, 7/2^7/4, 7/2^7/5, 7/2^5/6, 64/27, 4096/729, 4/3^1/5, 4/3^2/5, 4/3^3/5, 4/3^4/5, 4/3^6/5, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^1/6, 5/3^6/7, 7/3, 343/27, 7/3^1/2, 7/3^3/2, 7/3^1/3, 7/3^1/4, 7/3^3/4, 7/3^1/5, 7/3^3/5, 7/3^1/6, 7/3^5/6, 5/4^7/3, 5/4^4/7, 7/4^5/2, 7/4^1/4, 7/4^5/4, 7/4^5/6, 6/5^5/4, 6/5^7/5, 6/5^7/6, 7/5^4/5, 7/5^5/7, 7/6, 343/216
=== CS size 49 ===
36 scales in total: 81, 3^5/4, 5^1/4, 5^4/5, 5^2/7, 5^3/7, 5^6/7, 1296, 6^7/6, 7^5/2, 7^5/6, 7^5/7, 81/16, 3/2^4/3, 3/2^7/5, 3/2^4/7, 5/2^1/2, 5/2^3/2, 5/2^3/4, 5/2^1/6, 7/2^5/3, 256/81, 4/3^1/7, 5/3^7/2, 5/3^4/3, 5/3^7/6, 117649/729, 7/3^5/6, 7/4^5/2, 7/4^5/4, 7/4^4/7, 6/5^7/4, 117649/46656, 7/6^3/2, 7/6^7/2, 7/6^7/6
=== CS size 50 ===
43 scales in total: 729, 3^5/4, 3^6/5, 78125, 5^5/4, 5^7/5, 5^3/7, 5^6/7, 46656, 6^1/6, 6^7/6, 6^6/7, 7^5/2, 7^5/4, 7^2/7, 7^5/7, 729/64, 3/2^3/7, 3/2^6/7, 78125/128, 5/2^3/2, 5/2^7/2, 5/2^3/4, 5/2^7/4, 7/2^5/3, 7/2^5/6, 7/2^6/7, 4096/729, 4/3^7/4, 4/3^6/5, 5/3^5/2, 5/3^2/3, 5/3^4/3, 5/3^5/4, 7/3^5/6, 78125/16384, 5/4^2/3, 5/4^4/3, 5/4^7/5, 7/4^5/2, 7/4^5/4, 6/5^3/4, 6/5^3/5
=== CS size 51 ===
50 scales in total: 3^5/4, 625, 5^4/3, 5^1/7, 5^3/7, 5^4/7, 5^6/7, 6^7/6, 7^1/2, 7^3/2, 7^5/2, 7^1/7, 7^5/7, 3/2^7/3, 625/16, 5/2^3/2, 5/2^1/4, 5/2^3/4, 5/2^4/5, 7/2^1/2, 7/2^5/3, 4/3^5/4, 4/3^4/5, 125/27, 5/3^4/3, 5/3^3/5, 5/3^2/7, 343/27, 823543/2187, 7/3^7/5, 7/3^5/6, 625/256, 5/4^5/4, 7/4^1/2, 7/4^3/2, 7/4^5/2, 7/4^5/4, 7/4^1/6, 7/4^5/6, 7/4^7/6, 216/125, 6/5^5/4, 2401/625, 7/5^3/4, 343/216, 823543/279936, 7/6^5/2, 7/6^7/3, 7/6^3/5, 7/6^3/7
=== CS size 52 ===
120 scales in total: 3, 9, 27, 81, 243, 729, 2187, 3^1/2, 3^3/2, 3^5/2, 3^7/2, 3^1/3, 3^2/3, 3^4/3, 3^5/3, 3^7/3, 3^1/4, 3^3/4, 3^5/4, 3^7/4, 3^1/6, 3^5/6, 3^7/6, 3^1/7, 3^2/7, 3^3/7, 3^4/7, 3^5/7, 3^6/7, 5^1/3, 5^2/7, 5^3/7, 5^6/7, 6, 36, 216, 1296, 7776, 46656, 279936, 6^7/6, 7^5/2, 7^5/3, 7^5/4, 7^4/5, 7^5/6, 7^5/7, 3/2, 9/4, 27/8, 81/16, 243/32, 729/64, 2187/128, 3/2^2/7, 3/2^4/7, 3/2^6/7, 5/2^1/2, 5/2^3/2, 5/2^3/4, 5/2^1/5, 5/2^2/5, 5/2^1/7, 5/2^2/7, 5/2^3/7, 5/2^5/7, 5/2^6/7, 7/2^1/3, 7/2^5/3, 7/2^6/5, 7/2^1/6, 7/2^5/6, 4/3, 16/9, 64/27, 256/81, 1024/243, 4096/729, 16384/2187, 4/3^1/2, 4/3^3/2, 4/3^5/2, 4/3^7/2, 4/3^3/5, 4/3^6/5, 5/3^1/3, 5/3^2/3, 5/3^4/3, 16807/243, 117649/729, 7/3^5/2, 7/3^5/3, 7/3^5/4, 7/3^5/6, 7/3^4/7, 5/4^7/3, 5/4^7/6, 7/4^5/2, 7/4^4/3, 7/4^5/4, 6/5^1/7, 6/5^2/7, 6/5^3/7, 6/5^4/7, 6/5^5/7, 823543/78125, 7/5^7/2, 7/5^7/3, 7/5^7/4, 7/5^7/5, 7/5^7/6, 7/5^3/7, 7/5^6/7, 16807/7776, 117649/46656, 7/6^1/2, 7/6^3/2, 7/6^1/4, 7/6^3/4, 7/6^1/6
=== CS size 53 ===
30 scales in total: 3^5/4, 5^5/3, 5^3/7, 5^6/7, 6^5/2, 6^7/6, 7^5/2, 7^3/5, 7^3/7, 7^5/7, 3/2^5/2, 5/2^3/2, 5/2^5/3, 5/2^3/4, 7/2^5/3, 3125/243, 5/3^4/3, 7/3^1/6, 7/3^5/6, 7/3^7/6, 5/4^2/7, 7/4^5/2, 7/4^2/3, 7/4^1/4, 7/4^5/4, 7/4^7/5, 7776/3125, 6/5^6/5, 16807/3125, 7/5^4/3
=== CS size 54 ===
54 scales in total: 78125, 5^7/2, 5^7/3, 5^7/5, 5^7/6, 5^1/7, 5^3/7, 5^6/7, 6^5/3, 6^7/5, 6^7/6, 16807, 7^5/2, 7^5/4, 7^5/7, 3/2^3/7, 3/2^5/7, 3/2^6/7, 78125/128, 5/2^3/2, 5/2^1/4, 5/2^3/4, 16807/32, 7/2^5/3, 7/2^5/6, 7/2^5/7, 4/3^5/3, 4/3^2/5, 4/3^4/5, 4/3^6/5, 4/3^5/6, 5/3^2/3, 5/3^4/3, 5/3^5/7, 343/27, 2401/81, 7/3^3/2, 7/3^5/7, 78125/16384, 5/4^7/2, 5/4^7/4, 16807/1024, 7/4^5/2, 7/4^5/3, 7/4^5/4, 7/4^5/6, 7/4^3/7, 7/4^6/7, 6/5^5/4, 7/5^3/5, 7/5^6/5, 343/216, 2401/1296, 7/6^4/7
=== CS size 55 ===
33 scales in total: 3^4/5, 5^1/2, 5^2/7, 5^3/7, 5^6/7, 6^4/3, 6^5/4, 6^7/6, 7^5/6, 7^2/7, 7^5/7, 3/2^4/7, 5/2^1/2, 5/2^3/2, 5/2^3/4, 7/2^5/2, 7/2^5/3, 7/2^4/5, 4/3^4/3, 5/3^4/3, 5/3^4/5, 49/9, 117649/729, 5/4^1/2, 5/4^1/6, 5/4^5/6, 7/4^5/4, 6/5^3/4, 49/36, 117649/46656, 7/6^3/2, 7/6^2/5, 7/6^6/5
=== CS size 56 ===
52 scales in total: 5^2/5, 5^4/5, 5^3/7, 5^6/7, 6^3/2, 6^7/6, 7, 49, 7^1/2, 7^1/4, 7^7/4, 7^1/5, 7^2/5, 7^4/5, 7^1/7, 7^5/7, 3/2^3/2, 3/2^3/4, 3/2^3/5, 3/2^6/5, 3/2^6/7, 5/2^3/2, 5/2^3/4, 7/2, 49/4, 7/2^5/3, 7/2^5/6, 4/3^3/5, 4/3^6/5, 5/3^1/3, 5/3^2/3, 5/3^4/3, 5/3^5/3, 5/3^7/3, 5/3^1/6, 5/3^5/6, 5/3^7/6, 5/4^7/3, 5/4^5/4, 5/4^3/5, 5/4^6/5, 7/4, 49/16, 7/4^1/2, 7/4^5/4, 6/5^1/3, 6/5^2/3, 6/5^4/3, 6/5^5/3, 6/5^7/3, 343/125, 117649/15625
=== CS size 57 ===
29 scales in total: 3^1/4, 5^3/4, 5^1/7, 5^3/7, 5^6/7, 6^1/6, 6^5/6, 6^7/6, 7^5/7, 5/2^3/2, 5/2^1/4, 5/2^3/4, 7/2^1/3, 7/2^5/3, 7/2^5/4, 7/2^1/7, 4/3^4/5, 625/81, 5/3^4/3, 7/3, 343/27, 5/4^4/3, 7/4^5/4, 1296/625, 6/5^5/4, 6/5^1/5, 823543/78125, 7/6, 343/216
=== CS size 58 ===
68 scales in total: 5, 25, 125, 625, 78125, 5^7/5, 5^2/7, 5^3/7, 5^6/7, 6^2/5, 6^4/5, 6^6/5, 6^7/6, 6^5/7, 7^3/7, 7^5/7, 7^6/7, 3/2^2/3, 3/2^4/3, 3/2^1/7, 3/2^2/7, 3/2^3/7, 3/2^4/7, 3/2^6/7, 5/2, 25/4, 125/8, 625/16, 78125/128, 5/2^1/2, 5/2^3/2, 5/2^5/2, 5/2^7/2, 5/2^1/3, 5/2^2/3, 5/2^4/3, 5/2^5/3, 5/2^7/3, 5/2^3/4, 5/2^1/6, 5/2^5/6, 5/2^7/6, 7/2^5/3, 7/2^3/5, 7/2^6/5, 7/2^5/6, 4/3^6/5, 4/3^2/7, 4/3^4/7, 4/3^6/7, 25/9, 5/3^2/3, 117649/729, 5/4, 25/16, 125/64, 625/256, 78125/16384, 7/4^1/4, 7/4^5/4, 7/4^5/7, 36/25, 7/5^3/2, 117649/46656, 7/6^3/2, 7/6^7/2, 7/6^3/4, 7/6^7/4
=== CS size 59 ===
15 scales in total: 3^1/5, 5^3/2, 5^3/7, 5^6/7, 6^1/5, 6^7/6, 7^5/7, 3/2^1/5, 5/2^3/4, 7/2^5/3, 7/2^7/3, 7/2^2/7, 5/3^3/7, 5/4^3/2, 7/4^5/4
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